Journal
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
Volume 6, Issue 4, Pages 1205-1210Publisher
WILMINGTON SCIENTIFIC PUBLISHER, LLC
DOI: 10.11948/2016080
Keywords
Nonlinear wave; bifurcation; exact explicit travelling wave solution; soliton solution; generalized Radhakrishnan; Kundu; Lakshmanan equation
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Funding
- National Natural Science Foundation of China [11261026]
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Using the method of dynamical systems for the the generalized Radhakrishnan, Kundu, Lakshmanan equation, the existence of soliton solutions, uncountably infinite many periodic wave solutions and unbounded wave solution are obtained. Exact explicit parametric representations of the above travelling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined.
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