Lump Solutions to a (2+1)‎-Dimensional Fifth-Order KdV-Like Equation

Abstract EN

A (2+1)-dimensional fifth-order KdV-like equation is introduced through a generalized bilinear equation with the prime number p=5.

The new equation possesses the same bilinear form as the standard (2+1)-dimensional fifth-order KdV equation.

By Maple symbolic computation, classes of lump solutions are constructed from a search for quadratic function solutions to the corresponding generalized bilinear equation.

We get a set of free parameters in the resulting lump solutions, of which we can get a nonzero determinant condition ensuring analyticity and rational localization of the solutions.

Particular classes of lump solutions with special choices of the free parameters are generated and plotted as illustrative examples.