Exact periodic solitary wave solutions for the \((2+1)\)-dimensional Boussinesq equation

DOI10.1016/j.jmaa.2010.01.041zbMath1191.35095OpenAlexW1965884765MaRDI QIDQ968832

Changfu Liu, Zhengde Dai

Publication date: 10 May 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.01.041

zbMATH Keywords

extended ansatz function methodphase shifts of solitons

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25) Soliton solutions (35C08)

Related Items (14)

Unnamed Item ⋮ An adaptive artificial viscosity for the displacement shallow water wave equation ⋮ Multi-soliton, rogue wave and periodic wave solutions of generalized \((2+1)\) dimensional Boussinesq equation ⋮ The EHTA for nonlinear evolution equations ⋮ New extended rational trigonometric methods and applications ⋮ Explicit traveling wave solutions to nonlinear evolution equations ⋮ SOLITON SOLUTIONS OF 10th ORDER 2-D BOUSSINESQ EQUATION ⋮ N-SOLITON, BREATHER, LUMP SOLUTIONS AND DIVERSE TRAVELING WAVE SOLUTIONS OF THE FRACTIONAL (2 + 1)-DIMENSIONAL BOUSSINESQ EQUATION ⋮ Explicit traveling wave solutions of five kinds of nonlinear evolution equations ⋮ Unnamed Item ⋮ Symmetries, traveling wave solutions, and conservation laws of a \((3+1)\)-dimensional Boussinesq equation ⋮ Whitham modulation equations, coalescing characteristics, and dispersive Boussinesq dynamics ⋮ Solutions and conservation laws of a \((2+1)\)-dimensional Boussinesq equation ⋮ A numerical study of \(N\)-periodic wave solutions to four integrable equations

Cites Work

• Singular periodic soliton solutions and resonance for the Kadomtsev-Petviashvili equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• A Two-dimensional Boussinesq equation for water waves and some of its solutions
• Rational and Periodic Wave Solutions of Two-Dimensional Boussinesq Equation
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices

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