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BIFURCATIONS OF EXACT TRAVELLING WAVE SOLUTIONS FOR THE GENERALIZED R-K-L EQUATION
Author(s) -
Jianming Zhang,
ShuMing Li,
Hongpeng Geng
Publication year - 2016
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2016080
Subject(s) - traveling wave , periodic wave , mathematics , mathematical analysis , dynamical systems theory , parametric statistics , soliton , exact solutions in general relativity , physics , nonlinear system , quantum mechanics , statistics
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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