An efficient spectral method for the generalized Rosenau-Kawahara equation
The Legendre dual-Petrov-Galerkin spectral method was proposed to the generalized Rosenau-Kawahara equation.A fast and efficient algorithm was constructed based on the diagonalization technique.The motion of single solitary wave solution,conservation laws and the phenomena of wave generation were also studied.Numerical results illustrate the effectiveness of the suggested approach.
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