Solitary wave solutions for a certain class of nonlinear differential equations | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 19, Issue 3, September 2011, Page 126-133 PDF (405.98 K) | ||||
| DOI: 10.1016/j.joems.2011.12.001 | ||||
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| Author | ||||
M. A. Abdel-Razek 
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| Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt | ||||
| Abstract | ||||
| Generalized forms of exact solitary wave solutions of the class (1.1) are investigated. The analysis rests mainly on the standard a direct algebraic method. The most general solutions are obtained, possibly having a constant term in their expansion into real exponentials. These solutions of the class (1.1) are performed under certain conditions for the relationship between the coefficients of the nonlinear, dispersive and dissipative terms. The analytical solutions of this class are of pulse-type and of kink-type solitary wave solutions and they are obtained with an arbitrary constant phase shift. | ||||
| Keywords | ||||
| Nonlinear dispersive dissipative equations; Solitary wave solutions; A direct algebraic method; Pulse-type and kink-type solutions | ||||
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