EXACT SOLUTIONS AND COMPLEX WAVE EXCITATIONS OF GENERALIZED SASA–SATSUMA SYSTEM IN (2+1)-DIMENSIONS

DOI10.1142/S0217979209052820zbMath1183.37114MaRDI QIDQ3401856

Chun-Long Zheng, Jian-Feng Ye

Publication date: 1 February 2010

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

exact solutionPainlevé-Bäcklund transformationcomplex wave excitationgeneralized Sasa-Satsuma (GSS) system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05)

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Bäcklund transformations and solutions of some generalized nonlinear evolution equations

Cites Work

• New exact solutions and fractal patterns of generalized Broer-Kaup system via a mapping approach
• Peakon, compacton and loop excitations with periodic behavior in KdV type models related to Schrödinger system
• Exact solution and semifolded structures of generalized Broer-Kaup system in \((2+1)\)-dimensions
• Integrability and Novel Localized Solutions in the (2+1) Dimensional Generalized Sasa-Satsuma Equation
• SINGLE AND MULTIPLE VALUED LOCALIZED EXCITATIONS OF BOITI-LEON-PEMPINELLI SYSTEM IN (2+1)-DIMENSIONS VIA A MAPPING METHOD
• Localized Coherent Soliton Structures in a Generalized (2+1)-Dimensional Nonlinear Schrödinger System