Traveling wave solutions of 3+1-dimensional Boiti–Leon–Manna–Pempinelli equation by using improved tanh(ϕ2)-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.

Keywords

• Improved tanh(ϕξ2)-expansion method
• 3+1-dimensional Boiti–Leon–Manna–Pempinelli equation
• Traveling wave solutions
• Solitary wave solution