Decomposition of certain nonlinear evolution equations and their quasi-periodic solutions.

DOI10.1016/S0960-0779(01)00243-0zbMath1162.37324OpenAlexW2011947530MaRDI QIDQ1610445

Hui-Hui Dai, Xiangguo Geng

Publication date: 19 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(01)00243-0

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) Almost and pseudo-almost periodic solutions to PDEs (35B15)

Related Items

A generalized Zakharov-Shabat equation with finite-band solutions and a soliton-equation hierarchy with an arbitrary parameter, Generalized decomposition methods for nonlinear oscillators, Bilinear approach for a symmetry constraint of the modified KdV equation, Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation, Algebro-geometric solutions to a hierarchy of (1 + 1)-dimensional and two new (2 + 1)-dimensional nonlinear evolution equations, Decomposition to the modified Jaulent-Miodek hierarchy

Cites Work

• Nonlinearization of the Lax system for AKNS hierarchy
• Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
• Quasi-periodic solutions of the \(2+1\) dimensional modified Korteweg-de Vries equation
• Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint
• An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
• Finite genus solutions to the Ablowitz‐Ladik equations
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item