Self-similar solutions for some nonlinear evolution equations: KdV, mKdV and Burgers equations (original) (raw)
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Nonlinear evolution equations (NLEEs) have been the subject of study in various branches of mathematicalphysical sciences such as physics, biology, chemistry, etc. The analytical solutions of such equations are of fundamental importance since a lot of mathematical-physical models are described by NLEEs. Among the possible solutions to NLEEs, certain special form solutions may depend only on a single combination of variables such as traveling wave variables. In the literature, there is a wide variety of approaches to ...