Similarity, Bäcklund transformations and rational solutions

DOI10.1007/BF00402243zbMath0542.35068OpenAlexW2028064435MaRDI QIDQ795240

Willi-Hans Steeb, Walter Strampp, Walter Oevel

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf00402243

zbMATH Keywords

Burgers' equationsimilarityBäcklund transformationsKorteweg-de Vries equationsRational solutions

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

An integrable lattice hierarchy for Merola-Ragnisco-Tu lattice: \(N\)-fold Darboux transformation and conservation laws ⋮ Rational \(KP\) and \(mKP\)-solutions in Wronskian form ⋮ Rational solutions of the Toda lattice equation in Casoratian form ⋮ \(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation ⋮ Extension of the class of integrable dynamical systems connected with semisimple Lie algebras

Cites Work

• Unnamed Item
• On a class of polynomials connected with the Korteweg-de Vries equation
• Solitons and rational solutions of nonlinear evolution equations
• Meromorphic solutions of nonlinear partial differential equations and many-particle completely integrable systems
• Decay mode solution of the two-dimensional KdV equation and the generalized Bäcklund transformation
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem

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