Multiple soliton solutions and fusion interaction phenomena for the \((2 + 1)\)-dimensional modified dispersive water-wave system

DOI10.1016/j.amc.2013.01.061zbMath1290.35032OpenAlexW2037603541MaRDI QIDQ2451369

Xiao-Ge Xu, Xiao-Yong Wen

Publication date: 3 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.01.061

zbMATH Keywords

symbolic computationHirota bilinear methodmultiple soliton solutions\((2 + 1)\)-dimensional modified dispersive water-wave systemfusion interaction

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton solutions (35C08)

Related Items (6)

Combined damped sinusoidal oscillation solutions to the \((3 + 1)\)-D variable-coefficient generalized NLW equation in liquid with gas bubbles ⋮ A (2+1)-dimensional modified dispersive water-wave (MDWW) system: Lie symmetry analysis, optimal system and invariant solutions ⋮ The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation ⋮ Rational solutions and their interaction solutions of the (2+1)-dimensional modified dispersive water wave equation ⋮ Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation ⋮ \(N\)-lump solutions to a \((3+1)\)-dimensional variable-coefficient generalized nonlinear wave equation in a liquid with gas bubbles

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