Application of the Exp-function method to the (2+1)-dimensional Boiti–Leon–Pempinelli equation using symbolic computation

Abstract

This paper deals with the so-called Exp-function method for studying a particular nonlinear partial differential equation (PDE): the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation. The method is constructive and can be carried out in a computer with the aid of a computer algebra system. The obtained generalized solitary wave solutions contain more arbitrary parameters compared with the earlier works, and thus, they are wider. This means that our method is effective and powerful for constructing exact and explicit analytic solutions to nonlinear PDEs.

Application of the exp-function method to nonlinear lattice differential equations for multi-wave and rational solutions

“…Currently, this method has gained much popularity. As a result, the method has been applied to various kinds of nonlinear problems in science and engineering 6–11, and recently more attention is paid to its adaptation, generalization, and extension; for instance, differential‐difference equations 12, NEEs with variable coefficients 13, stochastic equations 14, coupled NEEs 15, n ‐soliton solutions for NEEs 16–19, rational solutions for NEEs 20. It is also worth mentioning that in the comprehensive survey studies 21–23, the basic Exp‐function method has been considered as a very reliable technique for solving a wide class of nonlinear problems.…”