Preprint

·2022 OPEN ACCESS

New extensions of (2+1)-dimensional BLMP models with soliton solutions

M.T. Darvishi , Mohammad Najafi , Hadi Rezazadeh , Ahmet Bekir YTU , Adem C. Çevikel YTU

Research Square

Abstract

Abstract Searching for soliton solutions of NPDEs is one of the most interesting and important areas of science in the field of nonlinear phenomena. Soliton is a localized wave with exponential wings or is a localized wave with an infinite support. In this work, we study two extensions of (2+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation. Based on the simplified Hirota’s method (HM) and the Cole-Hopf transformation (CHT) method, new multiple front wave solutions are obtained for both versions.

Keywords

Soliton Transformation (genetics) Field (mathematics) Exponential function Work (physics) Nonlinear system Mathematics One-dimensional space Mathematical analysis Physics Applied mathematics Mathematical physics Theoretical physics Pure mathematics Quantum mechanics

Subject Areas

Nonlinear Waves and Solitons ·Statistical and Nonlinear Physics ·Physical Sciences
Fractional Differential Equations Solutions ·Modeling and Simulation ·Physical Sciences
Algebraic structures and combinatorial models ·Geometry and Topology ·Physical Sciences