Solitary wave solution for KdV equation with power-law nonlinearity and time-dependent coefficients
- 202 Downloads
This paper obtains an exact solitary wave solution of the Korteweg–de Vries equation with power law nonlinearity with time-dependent coefficients of the nonlinear as well as the dispersion terms. In addition, there are time-dependent damping and dispersion terms. The solitary wave ansatz is used to carry out the analysis. It is only necessary for the time-dependent coefficients to be Riemann integrable. As an example, the solution of the special case of cylindrical KdV equation falls out.
KeywordsSolitary waves Power law Integrability Conserved quantities
- 2.Biswas, A.: Solitary wave solution for the generalized KdV equation with time-dependent damping and dispersion. Commun. Nonlinear Sci. Numer. Simul. (to appear) Google Scholar
- 8.Xu, X.-G., Meng, X.-H., Gao, Y.-T., Wen, X.-Y.: Analytic N-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics. Appl. Math. Comput. (to appear) Google Scholar
- 9.Zhang, S.: Exact solution of a KdV equation with variable coefficients via exp-function method. Nonlinear Dyn. 52(1–2), 11–17 (2007) Google Scholar