Abstract
In this paper, we derive some new soliton solutions to $(2+1)$-Boiti-Leon Pempinelli equations with conformable derivative by using an expansion technique based on the Sinh-Gordon equation. The obtained solutions have different expression such as trigonometric, complex and hyperbolic functions. This powerful and simple technique can be used to investigate solutions of other nonlinear partial differential equations.
Highlights
Partial differential equations play an important role in interpretation and modeling of many phenomena appearing in applied mathematics and physics including flu d mechanics, electrical circuits, diffusion, damping laws, relaxation processes, optimal control theory, solid mechanics, propagation of waves, chemistry, biology, and so on
Seeking solutions for partial differential equations is an important aspect of scientifi research
Many scientists have focused on new find ngs to the nonlinear partial differential equations, such as traveling wave solutions, complex funtions, trigonometric functions, Jacobi elliptic functions, and so on
Summary
Partial differential equations play an important role in interpretation and modeling of many phenomena appearing in applied mathematics and physics including flu d mechanics, electrical circuits, diffusion, damping laws, relaxation processes, optimal control theory, solid mechanics, propagation of waves, chemistry, biology, and so on. Many scientists have focused on new find ngs to the nonlinear partial differential equations, such as traveling wave solutions, complex funtions, trigonometric functions, Jacobi elliptic functions, and so on. For constructing such solutions, there exist numerous efficient techniques. We adopt a transformation method based on a sinh-Gordon expansion equation to obtain new soliton solutions of Boiti-Leon Pimpinelli equations (BLP) with conformable derivative. To construct Jacobi elliptic function solutions, we convert equation (3) into the following d2w dξ.
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