Abstract
By using the bifurcation theory and methods of dynamical systems to construct the exact travelling wave solutions for nonlinear wave equations, some new soliton solutions, kink (anti-kink) solutions and periodic solutions with double period are obtained.
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References
A M Wazwaz, Math. Compu. Model. 40, 499 (2004)
J B Li and M Li, Chaos, Solitons and Fractals 25, 1037 (2005)
S N Chow and J K Hale, Method of bifurcation theory (Springer-Verlag, New York, 1981)
J Guckenheimer and P J Holmes, Nonlinear oscillations, dynamical systems and bifurcations of vector fields (Springer-Verlag, New York, 1983)
P F Byrd and M D Friedman, Handbook of elliptic integrals for engineers and physicists (Springer-Verlag, Berlin, 1954)
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Feng, D., Li, J. Bifurcation methods of dynamical systems for handling nonlinear wave equations. Pramana - J Phys 68, 863–868 (2007). https://doi.org/10.1007/s12043-007-0084-7
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DOI: https://doi.org/10.1007/s12043-007-0084-7