In this article, we construct abundant exact traveling wave solutions involving free parameters to the generalized Bretherton equation via the improved (G′/G)-expansion method. The traveling wave solutions are presen...In this article, we construct abundant exact traveling wave solutions involving free parameters to the generalized Bretherton equation via the improved (G′/G)-expansion method. The traveling wave solutions are presented in terms of the trigonometric, the hyperbolic, and rational functions. When the parameters take special values, the solitary waves are derived from the traveling waves.展开更多
In this article, we propose an alternative approach of the generalized and improved(G′/G)-expansion method and build some new exact traveling wave solutions of three nonlinear evolution equations, namely the Boiti–L...In this article, we propose an alternative approach of the generalized and improved(G′/G)-expansion method and build some new exact traveling wave solutions of three nonlinear evolution equations, namely the Boiti–Leon–Pempinelle equation, the Pochhammer–Chree equations and the Painleve integrable Burgers equation with free parameters. When the free parameters receive particular values, solitary wave solutions are constructed from the traveling waves. We use the Jacobi elliptic equation as an auxiliary equation in place of the second order linear equation. It is established that the proposed algorithm offers a further influential mathematical tool for constructing exact solutions of nonlinear evolution equations.展开更多
基金supported by the research grant under the Government of Malaysia
文摘In this article, we construct abundant exact traveling wave solutions involving free parameters to the generalized Bretherton equation via the improved (G′/G)-expansion method. The traveling wave solutions are presented in terms of the trigonometric, the hyperbolic, and rational functions. When the parameters take special values, the solitary waves are derived from the traveling waves.
文摘In this article, we propose an alternative approach of the generalized and improved(G′/G)-expansion method and build some new exact traveling wave solutions of three nonlinear evolution equations, namely the Boiti–Leon–Pempinelle equation, the Pochhammer–Chree equations and the Painleve integrable Burgers equation with free parameters. When the free parameters receive particular values, solitary wave solutions are constructed from the traveling waves. We use the Jacobi elliptic equation as an auxiliary equation in place of the second order linear equation. It is established that the proposed algorithm offers a further influential mathematical tool for constructing exact solutions of nonlinear evolution equations.
