Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation

Year 2016, Volume: 4 Issue: 4, 163 - 174, 31.12.2016

Emrullah Yasar

Abstract

In this study, we considered the (3+1) dimensional a
B-type Kademtsev-Petviashvili (KP) equation. Using the Lie group analysis, the
symmetry reductions and exact analytic solutions were obtained. Traveling wave
solutions were also deduced. Lastly, local conservation laws were constructed
by using the multiplier and Ibragimov’s nonlocal conservation method.

Keywords

Lie symmetry, exact solution, conservation laws

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