Journal
ACTA APPLICANDAE MATHEMATICAE
Volume 109, Issue 3, Pages 1107-1119Publisher
SPRINGER
DOI: 10.1007/s10440-008-9362-8
Keywords
Lie symmetry analysis; Bifurcation; Traveling wave solution; Exact analytic solution; Extended mKdV equation
Categories
Funding
- Natural Science Foundation of China [10671179, 10771196]
- Natural Science Foundation of Binzhou University [Bzxykj0806]
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By using Lie symmetry analysis and the method of dynamical systems for the extended mKdV equation, the all exact solutions based on the Lie group method are given. Especially, the bifurcations and traveling wave solutions are obtained. To guarantee the existence of the above solutions, all parameter conditions are determined. Furthermore, the exact analytic solutions are considered by using the power series method. Such solutions for the equation are important in both applications and the theory of nonlinear science.
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