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Painlevé analysis, Bäcklund transformation and soliton solutions of the \((2 + 1)\)-dimensional variable-coefficient Boussinesq equation

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Publication:6584126
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DOI10.1007/s10773-024-05670-3zbMath1545.35136MaRDI QIDQ6584126

Xing Lü, Sheng Zhi Zhu, Liang-Li Zhang

Publication date: 6 August 2024

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)



zbMATH Keywords

soliton solutionsBäcklund transformationPainlevé analysis\((2 + 1)\)-dimensional variable-coefficient Boussinesq equation


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton solutions (35C08) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)








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