A hybrid type of soliton equations with self-consistent sources: KP and Toda cases

DOI10.1016/j.jmaa.2010.12.010zbMath1213.37101OpenAlexW2045420141MaRDI QIDQ624599

Xing-Biao Hu, Hong-Yan Wang

Publication date: 9 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.12.010

zbMATH Keywords

source generation procedurehybrid typesoliton equations with self-consistent sources

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (2)

On the three-dimensional three-wave equation with self-consistent sources ⋮ Mixed rational-exponential solutions to the Kadomtsev-Petviashvili-II equation with a self-consistent source

Cites Work

• A direct method for deriving a multi-soliton solution for the problem of interaction of waves on the x,y plane
• Binary Bell polynomials and Darboux covariant Lax pairs
• Generalized Darboux transformations for the KP equation with self-consistent sources
• Construction of dKP and BKP equations with self-consistent sources
• New method for deriving nonlinear integrable systems
• Nonlinear resonant scattering and plasma instability: an integrable model
• An exact solution for a derivative nonlinear Schrödinger equation
• Soliton hierarchies with sources and Lax representation for restricted flows
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• New type of Kadomtsev–Petviashvili equation with self-consistent sources and its bilinear Bäcklund transformation
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