Nonlinear Dynamics

, 58:345 | Cite as

Solitary wave solution for KdV equation with power-law nonlinearity and time-dependent coefficients

Original Paper


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.


Solitary waves Power law Integrability Conserved quantities 


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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Center for Research and Education in Optical Sciences and Applications, Department of Applied Mathematics and Theoretical PhysicsDelaware State UniversityDoverUSA

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