Soliton solutions of some nonlinear evolution equations with time-dependent coefficients
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In this paper, we obtain exact soliton solutions of the modified KdV equation, inhomogeneous nonlinear Schrödinger equation and G(m, n) equation with variable-coefficients using solitary wave ansatz. The constraint conditions among the time-dependent coefficients turn out as necessary conditions for the solitons to exist. Numerical simulations for dark and bright soliton solutions for the mKdV equation are also given.
KeywordsDark and bright soliton KdV equation nonlinear Schrödinger equation G(m, n) equation
PACS Nos42.81.Dp 42.65.Tg 05.45.Yv