An Extended Riccati Equation Rational Expansion Method and its Applications
نویسنده
چکیده
Based on computerized symbolic computation and a new general ansatz,an extended Riccati equation rational expansion method is presented to construct multiple exact solutions for nonlinear evolution equations and implemented in a computer algebraic system.The validity and reliability of the method are tested by its application to four nonlinear evolution equations arising in physics,namely,generalized nonlinear Schrodinger equation with a source term,HirotaSatsuma coupled KdV system,coupled Maccaris equations and generalized-Zakharov equations.As a result,we obtain several new kinds of exact solutions.It is shown that the extended rational expansion method provides a very effective and powerful mathematical tool for solving other nonlinear evolution equations arising in physics.
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