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Resonant multiple wave solutions for a (3+1)-dimensional nonlinear evolution equation by linear superposition principle
Journal article   Open access  Peer reviewed

Resonant multiple wave solutions for a (3+1)-dimensional nonlinear evolution equation by linear superposition principle

Hai-Qiang Zhang and Wen-Xiu Ma
Computers & mathematics with applications (1987), Vol.73(10), pp.2339-2343
15/05/2017
DOI: https://doi.org/10.1016/j.camwa.2017.03.014

Abstract

Hirota bilinear method Linear superposition principle Resonant multiple wave Symbolic computation
The linear superposition principle can apply to the construction of resonant multiple wave solutions for a (3+1)-dimensional nonlinear evolution equation. Two types of resonant solutions are obtained by the parameterization for wave numbers and frequencies for linear combinations of exponential traveling waves. The resonance phenomena of multiple waves are discussed through the figures for several sample solutions.
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https://doi.org/10.1016/j.camwa.2017.03.014View
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