Bäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles

DOI10.1007/s11071-015-2397-2zbMath1351.37249OpenAlexW1906037993MaRDI QIDQ335455

Shou-Fu Tian, Jian-Min Tu, Mei-Juan Xu, Tian-Tian Zhang, Xiao-Qiu Song

Publication date: 2 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2397-2

zbMATH Keywords

Bäcklund transformationsoliton solutionBell's polynomialsinfinite conservation lawsperiodic wave solutiona generalized \((3+1)\)-dimensional nonlinear wave equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Liquid-gas two-phase flows, bubbly flows (76T10)

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