Auto-Bäcklund transformation and two families of analytical solutions to the \((2+1)\)-dimensional soliton breaking equation.

DOI10.1016/0375-9601(96)00049-7zbMath1073.35532OpenAlexW2026067548MaRDI QIDQ1967808

Bo Tian, Yi-Tian Gao

Publication date: 7 March 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00049-7

Mathematics Subject Classification ID

Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Cites Work

• Dromion-like structures in the \((2+1)\)-dimensional breaking soliton equation
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• The Painlevé property for partial differential equations
• A (2+1)-dimensional extension for the sine-Gordon equation
• Symmetries of a (2+1)-dimensional breaking soliton equation
• Unnamed Item