Painlevé analysis, Bäcklund transformation, Lax pair, periodic- and travelling-wave solutions for a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics
DOI10.1007/s12346-023-00850-8zbMath1526.35111OpenAlexW4387169954MaRDI QIDQ6051245
Xin Yu, Fei-Yan Liu, Yi-Tian Gao, Dong Wang, Gao-Fu Deng
Publication date: 19 October 2023
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-023-00850-8
Bell polynomialsfluid mechanicsBäcklund transformationLax pairPainlevé analysisperiodic wave solutions\((2+1)\)-dimensional Hirota-Satsuma-Ito equation
PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Traveling wave solutions (35C07)
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