-
2
-
-
0002004721
-
Solitons, Nonlinear Evolution Equations and Inverse Scattering L.M.S.
-
Cambridge Univ. Press, Cambridge
-
M.J. Ablowitz, P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering L.M.S. Lect. Notes Math., Vol. 149 (Cambridge Univ. Press, Cambridge, 1991).
-
(1991)
Lect. Notes Math.
, vol.149
-
-
Ablowitz, M.J.1
Clarkson, P.A.2
-
3
-
-
84975607685
-
Overview of transverse effects in nonlinear-optical systems
-
N.B. Abraham, W.J. Firth, Overview of transverse effects in nonlinear-optical systems, J. Opt. Soc. Am. B 7 (1990) 951-962.
-
(1990)
J. Opt. Soc. Am. B
, vol.7
, pp. 951-962
-
-
Abraham, N.B.1
Firth, W.J.2
-
5
-
-
0003332531
-
Scaling, Self-similarity, and Intermediate Asymptotics
-
Cambridge Univ. Press, Cambridge
-
G.I. Barenblatt, Scaling, Self-similarity, and Intermediate Asymptotics, Cambridge Texts in Applied Mathematics, Vol. 14 (Cambridge Univ. Press, Cambridge, 1996).
-
(1996)
Cambridge Texts in Applied Mathematics
, vol.14
-
-
Barenblatt, G.I.1
-
6
-
-
0242323668
-
Singular point analysis and integrals of motion for coupled nonlinear Schrödinger equations
-
G. Baumann, W.G. Glöcke, T.F. Nonnenmacher, Singular point analysis and integrals of motion for coupled nonlinear Schrödinger equations, Proc. R. Soc. London A 434 (1991) 263-278.
-
(1991)
Proc. R. Soc. London A
, vol.434
, pp. 263-278
-
-
Baumann, G.1
Glöcke, W.G.2
Nonnenmacher, T.F.3
-
8
-
-
0023150231
-
Polarization instabilities for solitons in birefringent fibers
-
K.J. Blow, N.J. Doran, D. Wood, Polarization instabilities for solitons in birefringent fibers, Opt. Lett. 12 (1987) 202-204.
-
(1987)
Opt. Lett.
, vol.12
, pp. 202-204
-
-
Blow, K.J.1
Doran, N.J.2
Wood, D.3
-
9
-
-
0000478462
-
The general similarity solution of the heat equation
-
G.W. Bluman, J.D. Cole, The general similarity solution of the heat equation, J. Math. Mech. 18 (1969) 1025-1042.
-
(1969)
J. Math. Mech.
, vol.18
, pp. 1025-1042
-
-
Bluman, G.W.1
Cole, J.D.2
-
10
-
-
0003339099
-
Symmetries and Differential Equations
-
Springer, New York
-
G.W. Bluman, S. Kumei, Symmetries and Differential Equations, Appl. Math. Sci., Vol. 81 (Springer, New York, 1989).
-
(1989)
Appl. Math. Sci.
, vol.81
-
-
Bluman, G.W.1
Kumei, S.2
-
11
-
-
0000133634
-
Representation for the radical of a finitely generated differential ideal
-
Montreal, A. Levelt, ed. (ACM Press, New York)
-
F. Boulier, D. Lazard, F. Ollivier, M. Petitot, Representation for the radical of a finitely generated differential ideal, in: Proc. ISSAC '95, Montreal, 1995, A. Levelt, ed. (ACM Press, New York).
-
(1995)
Proc. ISSAC '95
-
-
Boulier, F.1
Lazard, D.2
Ollivier, F.3
Petitot, M.4
-
12
-
-
0003342291
-
Exterior Differential Systems
-
Springer, New York
-
R.L. Bryant, S.-S. Chern, R.B. Gardner, H.L. Goldschmidt, P.A. Griffiths, Exterior Differential Systems, Math. Sci. Res. Inst. Publ., Vol. 18 (Springer, New York, 1991).
-
(1991)
Math. Sci. Res. Inst. Publ.
, vol.18
-
-
Bryant, R.L.1
Chern, S.-S.2
Gardner, R.B.3
Goldschmidt, H.L.4
Griffiths, P.A.5
-
13
-
-
85034654309
-
Applications of Gröbner bases in non-linear computational geometry
-
Mathematical Aspects of Scientific Software, J.R. Rice, ed. Springer, New York
-
B. Buchberger, Applications of Gröbner bases in non-linear computational geometry, in: Mathematical Aspects of Scientific Software, IMA Volumes in Mathematics and its Applications, Vol. 14, J.R. Rice, ed. (Springer, New York, 1988) pp. 52-80.
-
(1988)
IMA Volumes in Mathematics and Its Applications
, vol.14
, pp. 52-80
-
-
Buchberger, B.1
-
15
-
-
85034782464
-
Groebner bases and differential algebra
-
Proc. AAECC5, Menorca, Spain, L. Huguet, A. Poli, eds.
-
G. Carrà-Ferro, Groebner bases and differential algebra in: Proc. AAECC5, Menorca, Spain, Lect. Notes Comp. Sci., Vol. 356, L. Huguet, A. Poli, eds. (1989) 129-140.
-
(1989)
Lect. Notes Comp. Sci.
, vol.356
, pp. 129-140
-
-
Carrà-Ferro, G.1
-
16
-
-
0002203411
-
On term-orderings and rankings
-
Computational Algebra, K.G. Fischer et al., eds. Marcel Dekker, New York
-
G. Carrà-Ferro, W.Y. Sit, On term-orderings and rankings, in: Computational Algebra, Lect. Notes Pure Appl. Math., Vol. 151, K.G. Fischer et al., eds. (Marcel Dekker, New York, 1993) pp. 31-77.
-
(1993)
Lect. Notes Pure Appl. Math.
, vol.151
, pp. 31-77
-
-
Carrà-Ferro, G.1
Sit, W.Y.2
-
17
-
-
0026222880
-
The computer calculation of Lie point symmetries of large systems of differential equations
-
B. Champagne, W. Hereman, P. Winternitz, The computer calculation of Lie point symmetries of large systems of differential equations, Comput. Phys. Commun. 66 (1991) 319-340.
-
(1991)
Comput. Phys. Commun.
, vol.66
, pp. 319-340
-
-
Champagne, B.1
Hereman, W.2
Winternitz, P.3
-
18
-
-
0002551552
-
Dimensional reductions and exact solutions of a generalized nonlinear Schrödinger equation
-
P.A. Clarkson, Dimensional reductions and exact solutions of a generalized nonlinear Schrödinger equation, Nonlinearity 5 (1992) 453-472.
-
(1992)
Nonlinearity
, vol.5
, pp. 453-472
-
-
Clarkson, P.A.1
-
19
-
-
33646984319
-
Nonclassical symmetry reductions of the Boussinesq equation
-
P.A. Clarkson, Nonclassical symmetry reductions of the Boussinesq equation, Chaos, Solitons & Fractals 5 (1995) 2261-2301.
-
(1995)
Chaos, Solitons & Fractals
, vol.5
, pp. 2261-2301
-
-
Clarkson, P.A.1
-
20
-
-
18944400520
-
New similarity solutions of the Boussinesq equation
-
P.A. Clarkson, M.D. Kruskal, New similarity solutions of the Boussinesq equation, J. Math. Phys. 30 (1989) 2201-2213.
-
(1989)
J. Math. Phys.
, vol.30
, pp. 2201-2213
-
-
Clarkson, P.A.1
Kruskal, M.D.2
-
21
-
-
0005144466
-
The classical, direct and nonclassical methods for symmetry reductions of nonlinear partial differential equations
-
P.A. Clarkson, D.K. Ludlow, T.J. Priestley, The classical, direct and nonclassical methods for symmetry reductions of nonlinear partial differential equations, Meth. Appl. Anal. 4 (1997) 173-195.
-
(1997)
Meth. Appl. Anal.
, vol.4
, pp. 173-195
-
-
Clarkson, P.A.1
Ludlow, D.K.2
Priestley, T.J.3
-
22
-
-
43949149919
-
Symmetry reductions and exact solutions of a class of nonlinear heat equations
-
P.A. Clarkson, E.L. Mansfield, Symmetry reductions and exact solutions of a class of nonlinear heat equations, Physica D 70 (1993) 250-288.
-
(1993)
Physica D
, vol.70
, pp. 250-288
-
-
Clarkson, P.A.1
Mansfield, E.L.2
-
23
-
-
0028699959
-
Algorithms for the nonclassical method of symmetry reduction
-
P.A. Clarkson, E.L. Mansfield, Algorithms for the nonclassical method of symmetry reduction, SIAM J. Appl. Math. 54 (1994) 1693-1719.
-
(1994)
SIAM J. Appl. Math.
, vol.54
, pp. 1693-1719
-
-
Clarkson, P.A.1
Mansfield, E.L.2
-
26
-
-
0347648368
-
Moving Coframes II
-
preprint, University of Minnesota, USA, to appear
-
M. Fels, P.J. Olver, Moving Coframes II, preprint, University of Minnesota, USA, in Acta Appl. Math., to appear.
-
Acta Appl. Math.
-
-
Fels, M.1
Olver, P.J.2
-
27
-
-
0001719798
-
Conditional symmetry of the equations of Mathematical Physics
-
W.I. Fushchich, Conditional symmetry of the equations of Mathematical Physics, Ukrain. Math. J. 43 (1991) 1456-1470.
-
(1991)
Ukrain. Math. J.
, vol.43
, pp. 1456-1470
-
-
Fushchich, W.I.1
-
28
-
-
0005161089
-
Exact solutions for optical wave propagations including transverse effects
-
L. Gagnon, Exact solutions for optical wave propagations including transverse effects, J. Opt. Soc. Am. B 7 (1990) 1098-1102.
-
(1990)
J. Opt. Soc. Am. B
, vol.7
, pp. 1098-1102
-
-
Gagnon, L.1
-
29
-
-
0003869248
-
Self-similar solutions for a coupled system of nonlinear Schrödinger equations
-
L. Gagnon, Self-similar solutions for a coupled system of nonlinear Schrödinger equations, J. Phys. A 25 (1992) 2649-2667.
-
(1992)
J. Phys. A
, vol.25
, pp. 2649-2667
-
-
Gagnon, L.1
-
30
-
-
0040404110
-
Lie symmetries of a generalised nonlinear Schrödinger equation: III. Reductions to third-order ordinary differential equations
-
L. Gagnon, B. Grammaticos, A. Ramani, P. Winternitz, Lie symmetries of a generalised nonlinear Schrödinger equation: III. Reductions to third-order ordinary differential equations, J. Phys. A 22 (1989) 499-509.
-
(1989)
J. Phys. A
, vol.22
, pp. 499-509
-
-
Gagnon, L.1
Grammaticos, B.2
Ramani, A.3
Winternitz, P.4
-
31
-
-
84975662145
-
Nonlinear radiation modes connected to parabolic graded-index profiles by the lens transformation
-
L. Gagnon, C. Paré, Nonlinear radiation modes connected to parabolic graded-index profiles by the lens transformation, J. Opt. Soc. Am. B 8 (1990) 601-607.
-
(1990)
J. Opt. Soc. Am. B
, vol.8
, pp. 601-607
-
-
Gagnon, L.1
Paré, C.2
-
32
-
-
0009050620
-
Lie symmetries of a generalised nonlinear Schrödinger equation: I. the symmetry group and its subgroups
-
L. Gagnon, P. Winternitz, Lie symmetries of a generalised nonlinear Schrödinger equation: I. The symmetry group and its subgroups, J. Phys. A 21 (1988) 1493-1511.
-
(1988)
J. Phys. A
, vol.21
, pp. 1493-1511
-
-
Gagnon, L.1
Winternitz, P.2
-
33
-
-
0042182371
-
Lie symmetries of a generalised nonlinear Schrödinger equation: II. Exact solutions
-
L. Gagnon, P. Winternitz, Lie symmetries of a generalised nonlinear Schrödinger equation: II. Exact solutions, J. Phys. A 22 (1989) 469-497.
-
(1989)
J. Phys. A
, vol.22
, pp. 469-497
-
-
Gagnon, L.1
Winternitz, P.2
-
34
-
-
0007566683
-
Exact solutions of the cubic and quintic nonlinear Schrödinger equation for a cylindrical geometry
-
L. Gagnon, P. Winternitz, Exact solutions of the cubic and quintic nonlinear Schrödinger equation for a cylindrical geometry, Phys. Rev. A 39 (1989) 296-306.
-
(1989)
Phys. Rev. A
, vol.39
, pp. 296-306
-
-
Gagnon, L.1
Winternitz, P.2
-
35
-
-
0002300466
-
Exact solutions of the spherical quintic nonlinear Schrödinger equation
-
L. Gagnon, P. Winternitz, Exact solutions of the spherical quintic nonlinear Schrödinger equation, Phys. Lett. A 134 (1989) 276-281.
-
(1989)
Phys. Lett. A
, vol.134
, pp. 276-281
-
-
Gagnon, L.1
Winternitz, P.2
-
36
-
-
0039811565
-
Non-Painlevé reductions of nonlinear Schrödinger equations
-
L. Gagnon, P. Winternitz, Non-Painlevé reductions of nonlinear Schrödinger equations, Phys. Rev. A 42 (1990) 5029-5030.
-
(1990)
Phys. Rev. A
, vol.42
, pp. 5029-5030
-
-
Gagnon, L.1
Winternitz, P.2
-
39
-
-
0027685141
-
LIE: A PC program for Lie analysis of differential equations
-
A.K. Head, LIE: A PC program for Lie analysis of differential equations, Comput. Phys. Commun. 77 (1993) 241-248.
-
(1993)
Comput. Phys. Commun.
, vol.77
, pp. 241-248
-
-
Head, A.K.1
-
40
-
-
0002247504
-
Review of symbolic software for the computation of Lie symmetries of differential equations
-
W. Hereman, Review of symbolic software for the computation of Lie symmetries of differential equations, Euromath Bull. 1 (1994) 45-79.
-
(1994)
Euromath Bull.
, vol.1
, pp. 45-79
-
-
Hereman, W.1
-
41
-
-
0347648360
-
-
Research Report no. 77, Department of Mathematics, University of Canterbury, Christchurch, New Zealand
-
M. Hickman, The use of Maple in the search for symmetries, Research Report no. 77, Department of Mathematics, University of Canterbury, Christchurch, New Zealand (1993).
-
(1993)
The use of Maple in the Search for Symmetries
-
-
Hickman, M.1
-
45
-
-
0000452782
-
Soliton trapping and daughter waves in the Manakov model
-
D.J. Kaup, B.A. Malomed, Soliton trapping and daughter waves in the Manakov model, Phys. Rev. A 48 (1993) 599-604.
-
(1993)
Phys. Rev. A
, vol.48
, pp. 599-604
-
-
Kaup, D.J.1
Malomed, B.A.2
-
46
-
-
0001678923
-
Nonclassical symmetry reduction: Example of the Boussinesq equation
-
D. Levi, P. Winternitz, Nonclassical symmetry reduction: example of the Boussinesq equation, J. Phys. A 22 (1989) 2915-2924.
-
(1989)
J. Phys. A
, vol.22
, pp. 2915-2924
-
-
Levi, D.1
Winternitz, P.2
-
48
-
-
0000763166
-
On the theory of two-dimensional stationary self-focusing of electromagnetic waves
-
S.V. Manakov, On the theory of two-dimensional stationary self-focusing of electromagnetic waves, Sov. Phys. JETP 38 (1974) 248-253.
-
(1974)
Sov. Phys. JETP
, vol.38
, pp. 248-253
-
-
Manakov, S.V.1
-
49
-
-
21344484749
-
Similarity reductions for variable-coefficient coupled nonlinear Schrödinger equations
-
N. Manganaro, D.F. Parker, Similarity reductions for variable-coefficient coupled nonlinear Schrödinger equations, J. Phys. A 26 (1993) 4093-4106.
-
(1993)
J. Phys. A
, vol.26
, pp. 4093-4106
-
-
Manganaro, N.1
Parker, D.F.2
-
51
-
-
0002016585
-
The differential algebra package diffgrob2
-
E.L. Mansfield, The differential algebra package diffgrob2, MapleTech 3 (1996) 33-37.
-
(1996)
MapleTech
, vol.3
, pp. 33-37
-
-
Mansfield, E.L.1
-
52
-
-
0345756484
-
-
preprint UKC/IMS/97/53, Institute of Mathematics and Statistics, University of Kent
-
E.L. Mansfield, Computer algebra for the Classification Problem, preprint UKC/IMS/97/53, Institute of Mathematics and Statistics, University of Kent (1997).
-
(1997)
Computer Algebra for the Classification Problem
-
-
Mansfield, E.L.1
-
53
-
-
0031142055
-
Applications of the differential algebra package diffgrob2 to classical symmetries of differential equations
-
E.L. Mansfield, P.A. Clarkson, Applications of the differential algebra package diffgrob2 to classical symmetries of differential equations, J. Symb. Comput. 23 (1997) 517-533.
-
(1997)
J. Symb. Comput.
, vol.23
, pp. 517-533
-
-
Mansfield, E.L.1
Clarkson, P.A.2
-
55
-
-
0023293392
-
Nonlinear pulse propagation in birefringent optical fibers
-
C.R. Menyuk, Nonlinear pulse propagation in birefringent optical fibers, IEEE J. Quantum Electron. QE-23 (1987) 174-176.
-
(1987)
IEEE J. Quantum Electron.
, vol.QE-23
, pp. 174-176
-
-
Menyuk, C.R.1
-
56
-
-
0024914687
-
Pulse propagation in an elliptically birefringent Kerr medium
-
C.R. Menyuk, Pulse propagation in an elliptically birefringent Kerr medium, IEEE J. Quantum Electron. QE-25 (1989) 2674-2682.
-
(1989)
IEEE J. Quantum Electron.
, vol.QE-25
, pp. 2674-2682
-
-
Menyuk, C.R.1
-
57
-
-
0007071237
-
Coupled nonlinear Schrödinger equations arising in monomode step-index optical fibre
-
G.K. Newboult, D.F. Parker, T.R. Faulker, Coupled nonlinear Schrödinger equations arising in monomode step-index optical fibre, J. Math. Phys. 30 (1989) 930-936.
-
(1989)
J. Math. Phys.
, vol.30
, pp. 930-936
-
-
Newboult, G.K.1
Parker, D.F.2
Faulker, T.R.3
-
58
-
-
0000923333
-
Iterating the nonclassical symmetries method
-
M.C. Nucci, Iterating the nonclassical symmetries method, Physica D 78 (1994) 124-134.
-
(1994)
Physica D
, vol.78
, pp. 124-134
-
-
Nucci, M.C.1
-
59
-
-
0003317858
-
Application of Lie groups to differential equations, 2nd ed
-
Springer, New York
-
P.J. Olver, Application of Lie groups to differential equations, 2nd ed., Graduate Texts in Mathematics, Vol. 107 (Springer, New York, 1993).
-
(1993)
Graduate Texts in Mathematics
, vol.107
-
-
Olver, P.J.1
-
60
-
-
0028768164
-
Direct reduction and differential constraints
-
P.J. Olver, Direct reduction and differential constraints, Proc. Roy. Soc. London A 444 (1994) 509-523.
-
(1994)
Proc. Roy. Soc. London A
, vol.444
, pp. 509-523
-
-
Olver, P.J.1
-
61
-
-
0011002289
-
Computations in differential and difference modules
-
E.V. Pankrat'ev, Computations in differential and difference modules, Acta Appl. Math. 16 (1989) 167-189.
-
(1989)
Acta Appl. Math.
, vol.16
, pp. 167-189
-
-
PankraT'Ev, E.V.1
-
62
-
-
0042317523
-
Coupled cubic Schrödinger equations for axially symmetric waveguides
-
A. Donato, S. Giambo, eds. Cosenzam Editel
-
D.F. Parker, Coupled cubic Schrödinger equations for axially symmetric waveguides, in: Proc. Fourth Meeting on Waves and Stability in Continuous Media, A. Donato, S. Giambo, eds. (Cosenzam Editel, 1988) pp. 261-280.
-
(1988)
Proc. Fourth Meeting on Waves and Stability in Continuous Media
, pp. 261-280
-
-
Parker, D.F.1
-
63
-
-
0040918672
-
Coupled nonlinear Schrödinger equations arising in fibre optics
-
D.F. Parker, G.K. Newboult, Coupled nonlinear Schrödinger equations arising in fibre optics, J. Phys. C 3 (1989) 137-146.
-
(1989)
J. Phys. C
, vol.3
, pp. 137-146
-
-
Parker, D.F.1
Newboult, G.K.2
-
64
-
-
36749111776
-
Continuous subgroups of the fundamental groups of physics I. General method and the Poincaré group
-
J. Patera, P. Winternitz, H. Zassenhaus, Continuous subgroups of the fundamental groups of physics I. General method and the Poincaré group, J. Math. Phys. 16 (1975) 1597-1614.
-
(1975)
J. Math. Phys.
, vol.16
, pp. 1597-1614
-
-
Patera, J.1
Winternitz, P.2
Zassenhaus, H.3
-
65
-
-
21844490569
-
Bright and dark soliton solutions to coupled nonlinear Schrödinger equations
-
R. Radhakrishnan, M. Lakshmanan, Bright and dark soliton solutions to coupled nonlinear Schrödinger equations, J. Phys. A 28 (1995) 2683-2692.
-
(1995)
J. Phys. A
, vol.28
, pp. 2683-2692
-
-
Radhakrishnan, R.1
Lakshmanan, M.2
-
66
-
-
0031212459
-
Inelastic collision and switching of coupled bright solitons in optical fibers
-
R. Radhakrishnan, M. Lakshmanan, J. Hietarinta, Inelastic collision and switching of coupled bright solitons in optical fibers, Phys. Rev. E 56 (1997) 2213-2216.
-
(1997)
Phys. Rev. E
, vol.56
, pp. 2213-2216
-
-
Radhakrishnan, R.1
Lakshmanan, M.2
Hietarinta, J.3
-
67
-
-
0000877015
-
Integrability and singularity structure of coupled nonlinear Schrödinger equations
-
R. Radhakrishnan, R. Sahadevan, M. Lakshmanan, Integrability and singularity structure of coupled nonlinear Schrödinger equations. Chaos, Solitons & Fractals 5 (1995) 2315-2327.
-
(1995)
Chaos, Solitons & Fractals
, vol.5
, pp. 2315-2327
-
-
Radhakrishnan, R.1
Sahadevan, R.2
Lakshmanan, M.3
-
68
-
-
84972029082
-
Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution
-
G.J. Reid, Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution, Euro. J. Appl. Math. 2 (1991) 293-318.
-
(1991)
Euro. J. Appl. Math.
, vol.2
, pp. 293-318
-
-
Reid, G.J.1
-
69
-
-
84971844577
-
Finding abstract Lie symmetry algebras of differential equations without integrating determining equations
-
G.J. Reid, Finding abstract Lie symmetry algebras of differential equations without integrating determining equations, Euro. J. Appl. Math. 2 (1991) 319-340.
-
(1991)
Euro. J. Appl. Math.
, vol.2
, pp. 319-340
-
-
Reid, G.J.1
-
70
-
-
84992155013
-
Algorithmic determination of commutation relations for Lie symmetry algebras of PDEs
-
California, P.S. Wang, ed. ACM Press, New York
-
G.J. Reid, I.G. Lisle, A. Boulton, A.D. Wittkopf, Algorithmic determination of commutation relations for Lie symmetry algebras of PDEs, in: Proc. ISSAC '92 Berkeley, California, P.S. Wang, ed. (ACM Press, New York, 1992) pp. 63-68.
-
(1992)
Proc. ISSAC '92 Berkeley
, pp. 63-68
-
-
Reid, G.J.1
Lisle, I.G.2
Boulton, A.3
Wittkopf, A.D.4
-
71
-
-
0343211468
-
-
preprint, Department of Mathematics, University of British Columbia, Vancouver, Canada
-
G.J. Reid, D.K. McKinnon, Solving systems of linear PDEs in their coefficient field by recursively decoupling and solving ODEs, preprint, Department of Mathematics, University of British Columbia, Vancouver, Canada (1993).
-
(1993)
Solving Systems of Linear PDEs in Their Coefficient Field by Recursively Decoupling and Solving ODEs
-
-
Reid, G.J.1
McKinnon, D.K.2
-
73
-
-
0030364642
-
Reduction of systems of nonlinear partial differential equations to simplified involutive forms
-
G.J. Reid, A.D. Wittkopf, A. Boulton, Reduction of systems of nonlinear partial differential equations to simplified involutive forms, Eur. J. Appl. Math. 7 (1996) 604-635.
-
(1996)
Eur. J. Appl. Math.
, vol.7
, pp. 604-635
-
-
Reid, G.J.1
Wittkopf, A.D.2
Boulton, A.3
-
75
-
-
0030717962
-
Rankings of Partial Derivatives
-
W. Küchlin, ed., ACM Press, New York
-
C.J. Rust, G.J. Reid, Rankings of Partial Derivatives, in: W. Küchlin, ed., Proc. ISSAC '97 (ACM Press, New York, 1997) 9-16.
-
(1997)
Proc. ISSAC '97
, pp. 9-16
-
-
Rust, C.J.1
Reid, G.J.2
-
76
-
-
0346387642
-
Coupled evolution equations for axially inhomogeneous optical fibres
-
E. Ryder, D.F. Parker, Coupled evolution equations for axially inhomogeneous optical fibres, IMA J. Appl. Math. 49 (1992) 293-309.
-
(1992)
IMA J. Appl. Math.
, vol.49
, pp. 293-309
-
-
Ryder, E.1
Parker, D.F.2
-
77
-
-
36149031438
-
Painlevé analysis and integrability of coupled nonlinear Schrödinger equations
-
R. Sahadevan, K.M. Tamizhmani, M. Lakshmanan, Painlevé analysis and integrability of coupled nonlinear Schrödinger equations, J. Phys. A 19 (1986) 1783-1791.
-
(1986)
J. Phys. A
, vol.19
, pp. 1783-1791
-
-
Sahadevan, R.1
Tamizhmani, K.M.2
Lakshmanan, M.3
-
78
-
-
5544280031
-
Symmetries and solutions of the vector nonlinear Schrödinger equation
-
A. Sciarro, P. Winternitz, Symmetries and solutions of the vector nonlinear Schrödinger equation, Nuovo Cimento B 112 (1997) 853-871.
-
(1997)
Nuovo Cimento B
, vol.112
, pp. 853-871
-
-
Sciarro, A.1
Winternitz, P.2
-
80
-
-
11644266903
-
Dynamics of coupled solitons in nonlinear optical fibers
-
T. Ueda, W.L. Kath, Dynamics of coupled solitons in nonlinear optical fibers, Phys. Rev. A 42 (1990) 563-571.
-
(1990)
Phys. Rev. A
, vol.42
, pp. 563-571
-
-
Ueda, T.1
Kath, W.L.2
-
81
-
-
0001076665
-
Dynamics of optical pulses in randomly birefringent fibers
-
T. Ueda, W.L. Kath, Dynamics of optical pulses in randomly birefringent fibers, Physica D 55 (1992) 166-181.
-
(1992)
Physica D
, vol.55
, pp. 166-181
-
-
Ueda, T.1
Kath, W.L.2
-
82
-
-
0011644296
-
Symmetries of compatibility conditions for systems of differential equations
-
E.M. Vorob'ev, Symmetries of compatibility conditions for systems of differential equations, Acta Appl. Math. 26 (1992) 61-86.
-
(1992)
Acta Appl. Math.
, vol.26
, pp. 61-86
-
-
Vorob'ev, E.M.1
-
83
-
-
36749112076
-
The Painlevé property for partial differential equations
-
J. Weiss, M. Tabor, G. Carnevale, The Painlevé property for partial differential equations, J. Math. Phys. 24 (1983) 522-526.
-
(1983)
J. Math. Phys.
, vol.24
, pp. 522-526
-
-
Weiss, J.1
Tabor, M.2
Carnevale, G.3
-
84
-
-
0000903345
-
The program CRACK for solving PDEs in General Relativity
-
F.W. Hehl, R.A. Puntigam, H. Ruder, eds. Springer, Berlin
-
T. Wolf, The program CRACK for solving PDEs in General Relativity, in: Relativity and Scientific Computing: Computer Algebra, Numerics, Visualization, F.W. Hehl, R.A. Puntigam, H. Ruder, eds. (Springer, Berlin, 1996) 241-258.
-
(1996)
Relativity and Scientific Computing: Computer Algebra, Numerics, Visualization
, pp. 241-258
-
-
Wolf, T.1
-
85
-
-
0000981501
-
To the integrability of the system of two coupled nonlinear Schrödinger equations
-
V.E. Zakharov, E.I. Schulman, To the integrability of the system of two coupled nonlinear Schrödinger equations, Physica D 4 (1982) 270-274.
-
(1982)
Physica D
, vol.4
, pp. 270-274
-
-
Zakharov, V.E.1
Schulman, E.I.2
-
86
-
-
0002557939
-
Exact theory of two-dimensional self-focusing and one-dimensional of waves in nonlinear media
-
V.E. Zakharov, A.B. Shabat, Exact theory of two-dimensional self-focusing and one-dimensional of waves in nonlinear media, Sov. Phys. JETP 34 (1972) 62-69.
-
(1972)
Sov. Phys. JETP
, vol.34
, pp. 62-69
-
-
Zakharov, V.E.1
Shabat, A.B.2
|