Lump wave and hybrid solutions of a generalized (3 + 1)-dimensional nonlinear wave equation in liquid with gas bubbles

DOI10.1007/s11464-019-0775-7zbMath1421.35315OpenAlexW2951921504WikidataQ127632202 ScholiaQ127632202MaRDI QIDQ2316949

Shou-Fu Tian, Tian-Tian Zhang, Yi Chen, Hui Wang

Publication date: 7 August 2019

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-019-0775-7

zbMATH Keywords

soliton solutionsbilinear formalismhybrid solutionslump solutionsgeneralized (3 + 1)-dimensional nonlinear wave equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Liquid-gas two-phase flows, bubbly flows (76T10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (11)

Dynamics of kink solitary waves and lump waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation ⋮ Combined damped sinusoidal oscillation solutions to the \((3 + 1)\)-D variable-coefficient generalized NLW equation in liquid with gas bubbles ⋮ KdV equation model in open cylindrical channel under precession ⋮ M-lump waves and their interactions with multi-soliton solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ Investigation of solitons and mixed lump wave solutions with \((3+1)\)-dimensional potential-YTSF equation ⋮ Resonant multi-soliton, M-breather, M-lump and hybrid solutions of a combined pKP-BKP equation ⋮ Certain electromagnetic waves in a ferromagnetic film ⋮ Lump and interaction solutions to the \((3+1)\)-dimensional variable-coefficient nonlinear wave equation with multidimensional binary Bell polynomials ⋮ \(N\)-lump solutions to a \((3+1)\)-dimensional variable-coefficient generalized nonlinear wave equation in a liquid with gas bubbles ⋮ Lie group theory, stability analysis with dispersion property, new soliton solutions and conserved quantities of 3D generalized nonlinear wave equation in liquid containing gas bubbles with applications in mechanics of fluids, biomedical sciences and cell biology ⋮ THE BREATHER WAVE SOLUTIONS, M-LUMP SOLUTIONS AND SEMI-RATIONAL SOLUTIONS TO A (2+1)-DIMENSIONAL GENERALIZED KORTEWEG-DE VRIES EQUATION

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