Various Methods for Constructing Auto-Bäcklund Transformations for a Generalized Variable-Coefficient Korteweg-de Vries Model from Plasmas and Fluid Dynamics

DOI10.1088/0253-6102/49/3/33zbMath1392.35276OpenAlexW1982287567MaRDI QIDQ4577351

Tao Xu, Xiang-Hua Meng, Chun-Yi Zhang, Fu-Wei Sun, Juan Li, Yi-Tian Gao, Guang-Mei Wei, Li-Li Li

Publication date: 3 August 2018

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/49/3/33

zbMATH Keywords

Lax pairHirota methodauto-Bäcklund transformationtruncated Painlevé expansion methodextended variable-coefficient balancing act methodSchwarzian derivative scattering methodvariable-coefficient Korteweg-de Vries models

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one tau-function ⋮ Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model ⋮ New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model

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