Applications of the Extended Simplest Equation Method to two nonlinear evolution equations
Gai Li-ta
Abstract
Gai Li-ta
Abstract
We successfully construct the new exact traveling wave solutions of the Joseph-Egri equation and the(2+1)-dimensional KP equation by using the extended simplest equation method.The exact traveling wave solutions with double arbitrary parameters,are expressed by the hyperbolic functions,the trigonometric functions and the rational functions respectively.When the parameters are taken as special values,some solitary wave solutions are derived from the hyperbolic function solutions.
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We successfully construct the new exact traveling wave solutions of the Joseph-Egri equation and the(2+1)-dimensional KP equation by using the extended simplest equation method.The exact traveling wave solutions with double arbitrary parameters,are expressed by the hyperbolic functions,the trigonometric functions and the rational functions respectively.When the parameters are taken as special values,some solitary wave solutions are derived from the hyperbolic function solutions.
Key concepts: Hyperbolic function, Trigonometric functions, Mathematics, Traveling wave, Mathematical analysis, Rational function, Hyperbolic partial differential equation, Function (biology)