Shixun Wang
Abstract
With the variational method,the PDE is transformed to ODE,by introducing the function transformation,then the KdV equation and generalized KdV equation are solved and some new exact solutions are obtained.Meanwhile the exact solution for generalized KdV equation is constructed by using the integral method.
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With the variational method,the PDE is transformed to ODE,by introducing the function transformation,then the KdV equation and generalized KdV equation are solved and some new exact solutions are obtained.Meanwhile the exact solution for generalized KdV equation is constructed by using the integral method.
Key concepts: Korteweg–de Vries equation, Ode, Mathematics, Transformation (genetics), Class (philosophy), Integral equation, Function (biology), Mathematical analysis