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| Riccati function solutions of nonlinear dispersive-dissipative mKdv equation |
Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, China）
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Abstract The mKdv equation is expanded and a nonlinear dispersive dissipative mKdv equation is obtained as ：ut＋α u2ux＋βuxx＋γuxxx=0.The generalized modified F-expansion method is developed to solve nonlinear mathematic physic equations. This method is improved by F-expansion method in the form of solution and constraint condition. By using the generalized modified F-expansion method and with the aid of computer symbolism system Mathematica,abundant exact solutions of the nonlinear dispersive dissipative mKdv equation are obtained,including single and combined non-degenerate Jacobi elliptic function solutions,soliton-like solutions,exponential solutions,periodic wave solutions,solitary wave solutions,triangle function solutions,rational function solutions,and plural number formal solutions,etc.
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2009, Vol. 30 
