Exact solutions of (3 + 1)-dimensional generalized KP equation arising in physics

Abstract

In this work, we have obtained some exact solutions to (3 + 1)-dimensional generalized KP Equation. The improved tanϕ(ξ)2-expansion method has been introduced to construct the exact solutions of nonlinear evolution equations. The obtained solutions include hyperbolic function solutions, trigonometric function solutions, exponential solutions, and rational solutions. Our study has added some new varieties of solutions to already available solutions. It is also worth mentioning that the computational work has been reduced significantly. Keywords: Improved tanϕ(ξ)2-expansion method, Hyperbolic function solution, Trigonometric function solution, Rational solution, (3 + 1)-dimensional generalized KP equation