Traveling wave solutions of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e887" altimg="si5.svg"> <mml:mfenced open="(" close=")"> <mml:mrow> <mml:mn>3</mml:mn> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:mfenced> </mml:math> -dimensional Boiti–Leon–Manna–Pempinelli equation by using improved tanh( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e899" altimg="si6.svg"> <mml:mfrac> <mml:mrow> <mml:mi>ϕ</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:mfrac> </mml:math> )-expansion method

Abstract

Aim of this article is to investigate soliton solutions of recently developed 3+1-dimensional Boiti–Leon–Manna–Pempinelli equation by utilizing newly derived approach namely, improved tanh(ϕ2)-expansion method. As a result, we succeed to secure various types of new solutions for this model including kink, periodic rational solutions. Some of the derived solutions has been discussed in the form of 2-,3-dimensional graphs and their contour plots to visualize the wave dynamics graphically. The results generated by this technique proves that it is a straightforward, robust, and effective method to generate variety of solutions and can be applied on different nonlinear models.

Topics & Concepts