2014•Journal of Applied Mathematics and PhysicsOpen access

Classification of All Single Traveling Wave Solutions to (3 + 1)-Dimensional Breaking Soliton Equation

Yang Li

Abstract

In order to get the exact traveling wave solutions to nonlinear partial differential equation, the complete discrimination system for polynomial and direct integral method are applied to the considered equation. All single traveling wave solutions to the equation can be obtained. As an example, we give the solutions to (3 + 1)-dimensional breaking soliton equation.

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Key concepts: Traveling wave, Partial differential equation, First-order partial differential equation, Soliton, Mathematical analysis, Mathematics, Kadomtsev–Petviashvili equation, Breaking wave