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EXACT SOLUTIONS OF THE MDI AND SAWADA-KOTERA EQUATIONS WITH VARIABLE COEFFICIENTS VIA EXP-FUNCTION METHOD  

Zhang, Sheng (Department of Mathematics, Bohai University)
Abdou, M.A. (Theoretical Research Group, Physics Department, Faculty of science, Mansoura University, Faculty of Education for Girls, Science Department)
Publication Information
Journal of applied mathematics & informatics / v.28, no.1_2, 2010 , pp. 143-152 More about this Journal
Abstract
Based on the Exp-function method and a suitable transformation, new generalized solitonary solutions including free parameters of the MDI and Sawada-Kotera equations with variable coefficients are obtained, form which solitary wave solutions and periodic solutions including some known solutions reported in open literature are derived as special cases. The free parameters in the obtained generalized solitonary solutions might imply some meaningful results in the physical models. It is shown that the Exp-function method provides a very effective and important new method for nonlinear evolution equations with variable coefficients.
Keywords
Exp-function method; generalized solitonary solutions; solitary wave solutions; periodic solutions; nonlinear evolution equations with variable coefficients;
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