Painlevé analysis, bilinear forms, Bäcklund transformations and solitons for a variable-coefficient extended Korteweg-de Vries equation with an external-force term in fluid mechanics and plasma dynamics
DOI10.1007/s12346-024-01081-1zbMath1547.35556MaRDI QIDQ6580054
Chong-Dong Cheng, Haodong Liu, Xiao-Tian Gao, Tian-Yu Zhou, Bo Tian
Publication date: 29 July 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
bilinear formsBäcklund transformationsfluid mechanicsPainlevé analysismulti-soliton solutionsplasma dynamicsmulti-complex-soliton solutionsvariable-coefficient extended Korteweg-de Vries equation with an external-force term
PDEs in connection with fluid mechanics (35Q35) 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) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Soliton solutions (35C08)
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