A multidimensional superposition principle: classical solitons. I

DOI10.1016/S0375-9601(00)00775-1zbMath0972.35117WikidataQ128153589 ScholiaQ128153589MaRDI QIDQ1592456

A. A. Alekseev

Publication date: 17 January 2001

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

nonlinear partial differential equationswave interactionstruncated expansions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (4)

On the integrability and solitons of the \(A_\pm\) equation ⋮ A multidimensional superposition principle: classical solitons. III ⋮ A supersymmetric second modified KdV equation ⋮ A Multidimensional Superposition Principle: Classical Solitons IV

Cites Work

• Systems of ordinary differential equations with nonlinear superposition principles
• Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
• New Representations of the Soliton Solution for the Korteweg-de Vries Equation
• Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations
• The Painlevé property for partial differential equations
• Invariant sets of evolution equations
• The inverse scattering transform: Semi-infinite interval
• Linearization of Cauchy's Problem for Quadratic Semilinear Partial Differential Equations
• Some notes on the singular manifold method: several manifolds and constraints
• Method for Solving the Korteweg-deVries Equation
• B-determining equations: applications to nonlinear partial differential equations
• Classical and non-classical interaction of kinks in some bubbly mediums
• Unnamed Item

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