Decomposition of a hierarchy of nonlinear evolution equations

DOI10.1016/S0960-0779(02)00415-0zbMath1030.37044OpenAlexW2000565542MaRDI QIDQ1416191

Xiangguo Geng

Publication date: 14 December 2003

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00415-0

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Decomposition to the modified Jaulent-Miodek hierarchy ⋮ Numerical solution for the Falkner-Skan equation

Cites Work

• Unnamed Item
• Nonlinearization of the Lax system for AKNS hierarchy
• A numerical study of compactons
• Finite-band solutions of the Dirac soliton equation through a reduction technique
• On solitons, compactons, and Lagrange maps.
• On nonanalytic solitary waves formed by a nonlinear dispersion.
• A nonconfocal generator of involutive systems and three associated soliton hierarchies
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
• Nonlinear Dispersion and Compact Structures
• Compactons: Solitons with finite wavelength
• C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy
• New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations