Group classification of variable coefficient KdV-like equations

Details Group classification of variable coefficient KdV-like equations Group classification of variable coefficient KdV-like equations

2012-04-22

arxiv.org/abs/1204.4875v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages; Contribution to the Proceedings of IX International Workshop "Lie Theory and Its Applications in Physics" (June 20-26

Scientific paper

The exhaustive group classification of the class of KdV-like equations with
time-dependent coefficients $u_t+uu_x+g(t)u_{xxx}+h(t)u=0$ is carried out using
equivalence based approach. A simple way for the construction of exact
solutions of KdV-like equations using equivalence transformations is described.

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