Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution

Abstract EN

We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method.

In discussion, we propose a more general trial equation method for nonlinear partial differential equations with generalized evolution.