Homoclinic orbits of the Davey-Stewartson equations

Applied Mathematics and Mechanics (English Edition)

Volumn 26, Issue 2, 2005, Pages 139-141

  Zhang, Jun ^a,b   Guo, Bo Ling ^b   Shen, Shou Feng ^c  

^a ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

^b INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

^c ZHEJIANG UNIVERSITY   (China)

Author keywords

Davey Stewartson equation; Hirota method; Homoclinic orbit

Indexed keywords

CHAOS THEORY; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; SOLITONS; VELOCITY; WATER WAVES;

DAVEY STEWARTSON; DEPENDENT VARIABLE TRANSFORMATION; HIROTA METHOD; HOMOCLINIC ORBITS;

INTEGRAL EQUATIONS;

EID: 18344395946     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02438234     Document Type: Article

References (10)

1. Ablowitz M J, Herbst B M, Constance Schober. On the numerical solution of the sine-Gordon equation - I: Integrable discretizations and homoclinic manifolds [J]. Journal of Computational Physics, 1996, 126(2): 299-314.
2. Ablowitz M J, Clarkson P A. Soliton, Nonlinear Evolution Equations and Inverse Scattering [M]. Cambridge University Press, New York, 1991.
3. Ablowitz M J, Herbst B M. On homoclinic structure and numerically induced chaos for the nonlinear Schrödinger equation [J]. Society for Industrial and Applied Mathematics, 1990, 50(2): 339-351.
4. Herbst B M, Ablowitz M J. Numerically induced chaos in the nonlinear Schrödinger equation [J]. Physical Review Letters, 1989, 62(18): 2065-2068.
5. Li Yanguang. Bäcklund transformations and homoclinic structures for the integrable discretization of the NLS equation [J]. Physics Letters A, 1992, 163(3): 181-187.
6. Hu Xingbiao, Guo Boling, Tam Honwah. Homoclinic orbits for the coupled Schröinger-Boussinesq equation and coupled Higgs equation [J]. Journal of the Physical Society of Japan, 2003, 72(1): 189-190.
7. Guo Boling, Wang Baoxiang. The Cauchy problem for Davey-Stewartson systems [J]. Communications on Pure and Applied Mathematics, 1999, 52(12): 1477-1490.
8. Li Y. Bäcklund-Darboux transformations and Melnikov analysis for Davey-Stewartson II equations [J]. Journal of Nonlinear Science, 2000, 10(1): 103-131.
9. Cipolatti R. On the instability of ground states for a Davey-Stewartson systems [J]. Ann Inst H Poincaré Phys Théor, 1993, 58(1): 85-104.
10. Hirota R. Direct methods in soliton theory [A]. In: Bullough R K, Caudrey P J (eds.). Solitons [C]. Springer, Berlin, 1980, 157-176.