-
1
-
-
0001524186
-
On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wave
-
Korteweg D.J., and De-Vries G. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wave. Philos Mug 39 (1895) 422-443
-
(1895)
Philos Mug
, vol.39
, pp. 422-443
-
-
Korteweg, D.J.1
De-Vries, G.2
-
2
-
-
0003916102
-
-
Nauk, Moscow
-
Zakharov V.E., Manakov S.V., Novikov S.P., and Itayevsky S.P. Theory of solitons (1980), Nauk, Moscow
-
(1980)
Theory of solitons
-
-
Zakharov, V.E.1
Manakov, S.V.2
Novikov, S.P.3
Itayevsky, S.P.4
-
4
-
-
33846361348
-
Interaction of "solitons" in a collisionless plasma and the recurrence of initial states
-
Zabusky N.J., and Kruskal M.D. Interaction of "solitons" in a collisionless plasma and the recurrence of initial states. Phys Rev Lett 15 (1965) 240-243
-
(1965)
Phys Rev Lett
, vol.15
, pp. 240-243
-
-
Zabusky, N.J.1
Kruskal, M.D.2
-
5
-
-
18944408338
-
Soliton solutions of a coupled Korteweg-De Vries equation
-
Hirota R., and Satsuma J. Soliton solutions of a coupled Korteweg-De Vries equation. Phys Lett A 85 (1981) 407-408
-
(1981)
Phys Lett A
, vol.85
, pp. 407-408
-
-
Hirota, R.1
Satsuma, J.2
-
6
-
-
0345985752
-
A generalized Hirota-Satsuma coupled Korteweg-De Vries equation and Miura transformations
-
Wu Y.T., Geng X.G., Hu X.B., and Zhu S.M. A generalized Hirota-Satsuma coupled Korteweg-De Vries equation and Miura transformations. Phys Lett A 255 (1999) 259-264
-
(1999)
Phys Lett A
, vol.255
, pp. 259-264
-
-
Wu, Y.T.1
Geng, X.G.2
Hu, X.B.3
Zhu, S.M.4
-
7
-
-
0035831998
-
Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled mKdV equation
-
Fan E. Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled mKdV equation. Phys Lett A 282 (2001) 18-22
-
(2001)
Phys Lett A
, vol.282
, pp. 18-22
-
-
Fan, E.1
-
8
-
-
34047138333
-
New exact solutions for two generalized Hirota-Satsuma coupled KdV systems
-
Zhang H. New exact solutions for two generalized Hirota-Satsuma coupled KdV systems. Comm Nonlinear Sc Numer Simul 12 (2007) 1120-1127
-
(2007)
Comm Nonlinear Sc Numer Simul
, vol.12
, pp. 1120-1127
-
-
Zhang, H.1
-
9
-
-
0141748145
-
Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation
-
Kaya D. Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation. Appl Math Comput 147 (2004) 69-78
-
(2004)
Appl Math Comput
, vol.147
, pp. 69-78
-
-
Kaya, D.1
-
10
-
-
0347985409
-
New traveling wave solutions of the generalized coupled Hirota-Satsuma KdV system
-
Xie F. New traveling wave solutions of the generalized coupled Hirota-Satsuma KdV system. Chaos, Solitons Fractals 20 (2004) 1005-1012
-
(2004)
Chaos, Solitons Fractals
, vol.20
, pp. 1005-1012
-
-
Xie, F.1
-
11
-
-
33745244211
-
Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
-
Ganji D.D., and Rafei M. Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method. Phys Lett A 356 (2006) 131-137
-
(2006)
Phys Lett A
, vol.356
, pp. 131-137
-
-
Ganji, D.D.1
Rafei, M.2
-
12
-
-
2642531751
-
Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
-
Baldwin D., et al. Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs. J Sym Comput 37 (2004) 669-705
-
(2004)
J Sym Comput
, vol.37
, pp. 669-705
-
-
Baldwin, D.1
-
13
-
-
0038111988
-
Analytical and numerical solution of a coupled KdV-mKdV system
-
Halim A.A., and Leble S.B. Analytical and numerical solution of a coupled KdV-mKdV system. Chaos Solitons Fractals 19 (2004) 99-108
-
(2004)
Chaos Solitons Fractals
, vol.19
, pp. 99-108
-
-
Halim, A.A.1
Leble, S.B.2
-
14
-
-
0025229330
-
Multiquadrics-A scattered data approximation scheme with applications to computational fluid dynamics-I
-
Kansa E.J. Multiquadrics-A scattered data approximation scheme with applications to computational fluid dynamics-I. Comput Math Appl 19 (1990) 127-145
-
(1990)
Comput Math Appl
, vol.19
, pp. 127-145
-
-
Kansa, E.J.1
-
15
-
-
0034173976
-
Circumventing the ill-conditioning problem with multiquadric radial basis functions applications to elliptic partial differential equations
-
Kansa E.J., and Hon Y.C. Circumventing the ill-conditioning problem with multiquadric radial basis functions applications to elliptic partial differential equations. Comput Math Appl 39 (2000) 123-137
-
(2000)
Comput Math Appl
, vol.39
, pp. 123-137
-
-
Kansa, E.J.1
Hon, Y.C.2
-
16
-
-
42949092656
-
A comparative study of numerical solutions of a class of KdV equation
-
Khattak A.J., and Siraj-ul-Islam. A comparative study of numerical solutions of a class of KdV equation. Appl Math Comput 199 (2008) 425-434
-
(2008)
Appl Math Comput
, vol.199
, pp. 425-434
-
-
Khattak, A.J.1
Siraj-ul-Islam2
-
17
-
-
50049113852
-
A meshfree method for numerical solution of KdV equation
-
Siraj-ul-Islam, et al. A meshfree method for numerical solution of KdV equation. Eng Anal Bound Elem 32 (2008) 849-855
-
(2008)
Eng Anal Bound Elem
, vol.32
, pp. 849-855
-
-
Siraj-ul-Islam1
-
18
-
-
37248998931
-
Numerical solutions of KdV equation using radial basis functions
-
Daǧ I., and Dereli Y. Numerical solutions of KdV equation using radial basis functions. Appl Math Model 32 (2008) 535-546
-
(2008)
Appl Math Model
, vol.32
, pp. 535-546
-
-
Daǧ, I.1
Dereli, Y.2
-
19
-
-
58249123606
-
A meshfree interpolation method for the numerical solution of the coupled nonlinear partial differential equations
-
in press, doi:10.1016/j.enganabound.2008.06.005
-
Siraj-ul-Islam, et al. A meshfree interpolation method for the numerical solution of the coupled nonlinear partial differential equations. Eng Anal Bound Elem 2008, in press, doi:10.1016/j.enganabound.2008.06.005.
-
(2008)
Eng Anal Bound Elem
-
-
Siraj-ul-Islam1
-
20
-
-
18144370443
-
Dynamical knot and shape parameter setting for simulating shock wave by using multi-quadric quasi-interpolation
-
Wu Z. Dynamical knot and shape parameter setting for simulating shock wave by using multi-quadric quasi-interpolation. Eng Anal Bound Elem 29 (2005) 354-358
-
(2005)
Eng Anal Bound Elem
, vol.29
, pp. 354-358
-
-
Wu, Z.1
-
21
-
-
49749124630
-
Numerical solutions for some coupled nonlinear evolution equations by using spectral collocation method
-
in press, doi:10.1016/j.mcm.2008.02.001
-
Khater AH, et al. Numerical solutions for some coupled nonlinear evolution equations by using spectral collocation method. Math Comput Modelling 2008;9, in press, doi:10.1016/j.mcm.2008.02.001.
-
(2008)
Math Comput Modelling
, pp. 9
-
-
Khater, A.H.1
-
23
-
-
0003484511
-
A parameter study of Hardy's multiquadric method for scattered data interpolation, Lawrence Livermore National Laboratory
-
Technical Report UCRL-54670
-
Tarwater AE. A parameter study of Hardy's multiquadric method for scattered data interpolation, Lawrence Livermore National Laboratory. Technical Report UCRL-54670, 1985.
-
(1985)
-
-
Tarwater, A.E.1
-
24
-
-
84966244353
-
Multivariate interpolation and conditionally positive definite functions II
-
Madych W.R., and Nelson S.A. Multivariate interpolation and conditionally positive definite functions II. Math Comp 54 (1990) 211-230
-
(1990)
Math Comp
, vol.54
, pp. 211-230
-
-
Madych, W.R.1
Nelson, S.A.2
-
25
-
-
0002567674
-
Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
-
Madych W.R., and Nelson S.A. Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation. J Approx Theory 70 (1992) 94-114
-
(1992)
J Approx Theory
, vol.70
, pp. 94-114
-
-
Madych, W.R.1
Nelson, S.A.2
-
26
-
-
0042334783
-
Exponential convergence and h-c multiquadric collocation method for partial differential equations
-
Cheng A.H.D., et al. Exponential convergence and h-c multiquadric collocation method for partial differential equations. Numer Meth Partial Diff Eq 19 (2003) 571-594
-
(2003)
Numer Meth Partial Diff Eq
, vol.19
, pp. 571-594
-
-
Cheng, A.H.D.1
-
27
-
-
0001018295
-
Multiquadric equations of topography and other irregular surfaces
-
Hardy R.L. Multiquadric equations of topography and other irregular surfaces. J Geo-Phys Res 176 (1971) 1905-1915
-
(1971)
J Geo-Phys Res
, vol.176
, pp. 1905-1915
-
-
Hardy, R.L.1
-
28
-
-
84968515237
-
Scattered data interpolation: test of some methods
-
Franke R. Scattered data interpolation: test of some methods. Math Comput 38 (1982) 181-200
-
(1982)
Math Comput
, vol.38
, pp. 181-200
-
-
Franke, R.1
-
29
-
-
34250650099
-
Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM
-
Ganji D.D., et al. Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM. Comput Appl Math 207 (2007) 35-45
-
(2007)
Comput Appl Math
, vol.207
, pp. 35-45
-
-
Ganji, D.D.1
-
30
-
-
0037408898
-
Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
-
Fan E. Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics. Chaos Solitons Fractals 16 (2003) 819-839
-
(2003)
Chaos Solitons Fractals
, vol.16
, pp. 819-839
-
-
Fan, E.1
-
31
-
-
40549110971
-
-
Jalili M, et al. Application of He's homotopy-perturbation method to strongly nonlinear coupled systems. J Phys: Conf Ser 2008;96:012078, doi:10.1088/1742-6596/96/1/012078.
-
Jalili M, et al. Application of He's homotopy-perturbation method to strongly nonlinear coupled systems. J Phys: Conf Ser 2008;96:012078, doi:10.1088/1742-6596/96/1/012078.
-
-
-
|