The construction of the mKdV cyclic symmetric N-soliton solution by the Bäcklund transformation

DOI10.1142/S0217732319501360zbMath1416.35230arXiv1805.09637MaRDI QIDQ4968290

Kazuyasu Shigemoto, Masahito Hayashi, Takuya Tsukioka

Publication date: 12 July 2019

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

Full work available at URL: https://arxiv.org/abs/1805.09637

zbMATH Keywords

Möbius grouplocal gauge transformationcommutative Bäcklund transformationmKdV \(N\)-soliton solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Soliton solutions (35C08)

Related Items (1)

On Backlund transformation and motion of null Cartan curves

Cites Work

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• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
• Nonlinear-Evolution Equations of Physical Significance
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
• Method for Solving the Korteweg-deVries Equation
• Integrals of nonlinear equations of evolution and solitary waves

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