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Volumn 124, Issue 1, 2001, Pages 45-93

The sine-Gordon equation in the finite line

Author keywords

Damping and amplification; Homoclinic orbits; Linearly implicit finite difference methods; Sine Gordon equation; Solitons in finite lines

Indexed keywords

BOUNDARY CONDITIONS; CHAOS THEORY; DAMPING; FINITE DIFFERENCE METHOD; PERTURBATION TECHNIQUES; POTENTIAL ENERGY; SOLITONS; STRAIN; TIME DOMAIN ANALYSIS;

ANTISOLITONS; CARTESIAN COORDINATES; SINE-GORDAN EQUATION;

LINEAR EQUATIONS;

EID: 0035841403 PISSN: 00963003 EISSN: None Source Type: Journal
DOI: 10.1016/S0096-3003(00)00080-1 Document Type: Article

Times cited : (20)

References (36)

1
- 16444372803
- Linearization methods for reaction-diffusion equations: 1-D problems
- (1997) Appl. Math. Comput. , vol.88 , pp. 199-224
- Ramos, J.I.¹

2
- 0000065410
- Linearization methods for reaction-diffusion equations: Multidimensional problems
- (1997) Appl. Math. Comput. , vol.88 , pp. 225-254
- Ramos, J.I.¹

3
- 0004029439
- Implicit, compact, linearized θ-methods with factorization for multidimensional reaction-diffusion equations
- (1999) Appl. Math. Comput. , vol.94 , pp. 17-43
- Ramos, J.I.¹

4
- 29144501620
- Dynamics of solitons in nearly integrable systems
- (1989) Rev. Modern Phys. , vol.61 , pp. 763-915
- Kivshar, Y.S.¹ Malomed, B.A.²

5
- 0001029830
- Many-particle effects in nearly integrable systems
- (1987) Physica D , vol.24 , pp. 125-154
- Kivshar, Y.S.¹ Malomed, B.A.²

6
- 49149148947
- Solitons in condensed matter physics: A paradigm
- (1980) Physica D , vol.1 , pp. 1-44
- Bishop, A.R.¹ Krumhansl, J.A.² Trullinger, S.E.³

7
- 11544260113
- Solitons in Josephson junctions
- (1998) Physica D , vol.123 , pp. 315-329
- Ustinov, A.V.¹

8
- 0031161220
- Soliton analysis in complex molecular systems: A zig-zag chain
- (1997) J .Comput. Phys. , vol.134 , pp. 108-121
- Christiansen, P.L.¹ Savin, A.V.² Zolotaryuk, A.V.³

9
- 0003186292
- Parametric generation in anomalously dispersive media
- (1997) Physica D , vol.122 , pp. 161-177
- Gorshkov, A.S.¹ Lyakhov, G.A.² Voliak, K.I.³ Yarovoi, L.A.⁴

10
- 0023306712
- An engineer's guide to soliton phenomena: Application of the finite element method
- (1987) Comput. Meth. Appl. Mech. Engrg. , vol.61 , pp. 71-122
- Argyris, J.¹ Haase, M.²

11
- 0004014826
- Product approximation for nonlinear Klein-Gordon equations
- (1990) IMA J. Numer. Anal. , vol.9 , pp. 449-462
- Tourigny, Y.¹

12
- 0003161846
- A Legendre spectral method for solving the nonlinear Klein-Gordon equation
- (1996) Comp. Appl. Math. , vol.15 , pp. 19-36
- Guo, B.-Y.¹ Li, X.² Vázquez, L.³

13
- 0002079274
- Analysis of four numerical schemes for a nonlinear Klein-Gordon equation
- (1990) Appl. Math. Comput. , vol.35 , pp. 61-94
- Jiménez, S.¹ Vázquez, L.²

14
- 0000765110
- Numerical solution of a nonlinear Klein-Gordon equation
- (1978) J. Comput. Phys. , vol.28 , pp. 271-278
- Strauss, W.A.¹ Vázquez, L.²

15
- 0018478959
- Solitary wave collisions
- (1979) SIAM J. Appl. Math. , vol.36 , pp. 428-437
- Ablowitz, M.J.¹ Kruskal, M.D.² Ladik, J.F.³

16
- 0001997591
- Numerical solution of the sine-Gordon equation
- (1986) Appl. Math. Comput. , vol.18 , pp. 1-14
- Guo, B.-Y.¹ Pascual, P.J.² Rodŕguez, M.J.³ Vázquez, L.⁴

17
- 0002025756
- Two energy conserving numerical schemes for the sine-Gordon equation
- (1991) Appl. Math. Comput. , vol.45 , pp. 17-30
- Fei, Z.¹ Vázquez, L.²

18
- 84965060858
- Finite difference calculus invariant structure of a class of algorithms for the nonlinear Klein-Gordon equation
- (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1839-1875
- Li, S.¹ Vu-Quoc, L.²

19
- 0003102674
- An initial-boundary value problem of a nonlinear Klien-Gordon equation
- (1997) Appl. Math. Comput. , vol.84 , pp. 77-93
- Wong, Y.S.¹ Chang, Q.² Gong, L.³

20
- 0002999318
- Derivation of the discrete conservation laws for a family of finite difference schemes
- (1994) Appl. Math. Comput. , vol.64 , pp. 13-45
- Jiménez, S.¹

21
- 0002080361
- Numerical simulation of quasi-periodic solutions of the sine-Gordon equation
- (1995) Physica D , vol.87 , pp. 37-47
- Ablowitz, M.J.¹ Herbst, B.M.² Schober, C.M.³

22
- 16144366227
- On the numerical solution of the sine-Gordon equation: I. Integrable discretizations and homoclinic manifolds
- (1996) J. Comput. Phys. , vol.126 , pp. 299-314
- Ablowitz, M.J.¹ Herbst, B.M.² Schober, C.M.³

23
- 0039176497
- On the numerical solution of the sine-Gordon equation: II. Performance of numerical schemes
- (1997) J. Comput. Phys. , vol.131 , pp. 354-367
- Ablowitz, M.J.¹ Herbst, B.M.² Schober, C.M.³

24
- 0001403053
- Numerical solution of nonlinear wave equations
- (1999) Phys. Rev. E , vol.59 , pp. 1274-1277
- Kouri, D.J.¹ Zhang, D.S.² Wei, G.W.³ Konshak, T.⁴ Hoffman, D.K.⁵

25
- 0004080364
- Theory of boundary effects on sine-Gordon solitons
- (1980) J. Appl. Phys. , vol.51 , pp. 1211-1226
- DeLeonardis, R.M.¹ Trullinger, S.E.² Wallis, R.F.³

26
- 0000836983
- Fourier collocation method for solving nonlinear Klein-Gordon equation
- (1993) J. Comput. Phys. , vol.108 , pp. 296-305
- Cao, W.-M.¹ Guo, B.-Y.²

27
- 0026103569
- Stability of periodic plane wave solutions of wave equations
- (1991) J. Comput. Appl. Math. , vol.34 , pp. 41-46
- Hanna, S.N.¹

28
- 0004024851
- Non-perturbative solution of the Klein-Gordon-Zakharov equation
- (1997) Appl. Math. Comput. , vol.81 , pp. 89-92
- Adomian, G.¹

29
- 0030584546
- A decomposition method for solving the nonlinear Klein-Gordon equation
- (1996) J. Comput. Phys. , vol.124 , pp. 442-448
- Deera, E.Y.¹ Khuri, S.A.²

30
- 4244134790
- One- and two-collective variable descriptions of two interacting sine-Gordon kinks
- (1998) Physica D , vol.119 , pp. 283-300
- Ferguson, C.D.¹ Willis, C.R.²

31
- 11644291093
- Breather scattering by impurities in the sine-Gordon model
- (1998) Phys. Rev. E , vol.58 , pp. 2558-2563
- Zhang, F.¹

32
- 0032165150
- Collective coordinates and length-scale competition in spatially inhomogeneous soliton-bearing equations
- (1998) SIAM Rev. , vol.40 , pp. 579-615
- Sánchez, A.¹ Bishop, A.R.²

33
- 4243255938
- Autoresonance of coupled nonlinear waves
- (1998) Phys. Rev. E , vol.57 , pp. 3494-3501
- Friedland, L.¹

34
- 0002413202
- Dynamics of solitons under random perturbations
- (1988) Phys. Reports , vol.157 , pp. 63-181
- Bass, F.G.¹ Kivshar, Y.S.² Knotop, V.V.³ Sinitsyn, Y.A.⁴

35
- 0002389545
- Dynamical chaos of solitons and nonlinear periodic waves
- (1989) Phys. Reports , vol.179 , pp. 1-78
- Abdullaev, F.Kh.¹

36
- 0001050651
- Longtime behaviour of strongly damped wave equations: Global attractors and their dimension
- (1991) SIAM J. Math. Anal. , vol.22 , pp. 879-895
- Ghidaglia, J.M.¹ Marzocchi, A.²

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