2013•Sixth International Conference on Nonlinear Mechanics (ICNM-VI)Requires access

Symmetry Reductions and Explicit Solutions of (3 + 1)-Dimensional Kadomtsev-Petviashvili (KP) Equation

Na Lv, J. Wang, Jie Mei, Lihua Wu

Abstract

With the aid of symbolic computation, we use the Lie group method to find the Lie point symmetries of (3+1)-dimensional Kadomtsev-Petviashvili (KP) equation, and reduce the equation with the obtained symmetries. As a result, many kinds of new symmetry reductions have been presented, including the (2+1)-dimensional KP type equation. And some explicit solutions are given due to the Riccati equation meth

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Kadomtsev–Petviashvili equation, Homogeneous space, Mathematics, Riccati equation, Symmetry (geometry), Symmetry group, Computation, Partial differential equation