Soliton and Riemann theta function quasi-periodic wave solutions for a \((2+1)\)-dimensional generalized shallow water wave equation
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Publication:327485
DOI10.1007/s11071-015-2161-7zbMath1348.76038OpenAlexW2471099189MaRDI QIDQ327485
Ming Song, Yi-ren Chen, Zheng-Rong Liu
Publication date: 19 October 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-015-2161-7
Riemann theta functionasymptotic analysisHirota bilinear method\((2 + 1)\)-dimensional GSWW equationbreather-type solitonlump-type solitonquasi-periodic wave solution
Periodic solutions to ordinary differential equations (34C25) Solitary waves for incompressible inviscid fluids (76B25) Traveling wave solutions (35C07)
Related Items (7)
The Riemann-Bäcklund method to a quasiperiodic wave solvable generalized variable coefficient \((2+1)\)-dimensional KdV equation ⋮ Effect of the Coriolis force on bounded traveling waves of the rotation-two-component Camassa–Holm system ⋮ Wronskian, Pfaffian and periodic wave solutions for a \((2 + 1)\)-dimensional extended shallow water wave equation ⋮ Bifurcations and Exact Traveling Wave Solutions of the Celebrated Green–Naghdi Equations ⋮ On the monotonicity of limit wave speed of the pgKdV equation with nonlinear terms of arbitrary higher degree ⋮ Bifurcations and exact traveling wave solutions of a new two-component system ⋮ SEVERAL TYPES OF PERIODIC WAVE SOLUTIONS AND THEIR RELATIONS OF A FUJIMOTO-WATANABE EQUATION
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