Solution of a nonisospectral and variable coefficient Korteweg-de Vries equation

DOI10.1007/BF00402138zbMath0656.35138OpenAlexW2088409011MaRDI QIDQ1109996

S. H. Smith

Publication date: 1987

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00402138

zbMATH Keywords

solitonKorteweg-de Vries equationBäcklund transformationLax pairvariable coefficientsnonisospectral variable coefficients

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (7)

Gauge and Bäcklund transformations for the variable coefficient higher-order modified Korteweg–de Vries equation ⋮ Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation ⋮ Darboux and Bäcklund transformations for the nonisospectral KP equation ⋮ \(N\)-fold Darboux transformation and double-Wronskian-typed solitonic structures for a variable-coefficient modified Kortweg-de Vries equation ⋮ Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations ⋮ Lump and lump-soliton interaction solutions for an integrable variable coefficient Kadomtsev–Petviashvili equation ⋮ Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids

Cites Work

• A unified explicit form of Bäcklund transformations for generalized hierarchies of KdV equations
• Lie groups and KdV equations
• Auto-Bäcklund transformation, Lax pairs, and Painlevé property of a variable coefficient Korteweg–de Vries equation. I
• A variable coefficient Korteweg–de Vries equation: Similarity analysis and exact solution. II
• Water waves and Korteweg–de Vries equations
• ASSOCIATED STURM-LIOUVILLE SYSTEMS

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