Solitary wave solutions for high- order nonlinear Camassa-Holm equation

摘要

The solitary wave solutions to class of nonlinear fourth order variant of a generalized Camassa-Holm equation is investigated by employing the interesting perturbation method. The solitary wave solutions to Camassa-Holm equation is given in the form of Jacobi functions and expressed by the hyperbolic functions, the trigonometric functions with different modulus k. The numerical results for different types of solutions of the nonlinear Camassa-Holm equation are simply discussed.