Journal
NONLINEAR DYNAMICS
Volume 58, Issue 1-2, Pages 345-348Publisher
SPRINGER
DOI: 10.1007/s11071-009-9480-5
Keywords
Solitary waves; Power law; Integrability; Conserved quantities
Categories
Funding
- NSF-CREST [HRD-0630388]
- Army Research Office (ARO)
- Air Force Office of Scientific Research (AFOSR) [W54428-RT-ISP]
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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.
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