Journal
JOURNAL OF OCEAN ENGINEERING AND SCIENCE
Volume 5, Issue 1, Pages 35-40Publisher
ELSEVIER
DOI: 10.1016/j.joes.2019.07.004
Keywords
Nonlinear water wave equations; Invariant subspace scheme; Exact solutions; Stability analysis
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The key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS). In this respect, the NLWWEs which describe specific nonlinear waves are converted to a number of systems of ordinary differential equations (ODEs) such that the resulting systems can be efficiently handled by computer algebra systems. As an accomplishment, the performance of the well-designed ISS in extracting a group of exact solutions is formally confirmed. In the end, the stability analysis for the NLWWE is investigated through the linear stability scheme. (C) 2019 Shanghai Jiaotong University. Published by Elsevier B.V.
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