Abstract
Abstract In this study, we use the improved Bernoulli sub-equation function method for exact solutions to the generalized (3+1) shallow water-like (SWL) equation. Some new solutions are successfully constructed. We carried out all the computations and the graphics plot in this paper by Wolfram Mathematica.
Highlights
In various fields of physical sciences, nonlinear evolution equations (NLEEs) and their exact solutions are important for non-linear phenomena
We apply this method to the shallow water-like (SWL) equation for finding new exact solutions
New solutions are obtained for the SWL equation using the IBSEFM method
Summary
In various fields of physical sciences, nonlinear evolution equations (NLEEs) and their exact solutions are important for non-linear phenomena. Rational solutions and lump solutions are obtained for equation(1) by Zhang et al [1] and Grammian and Pfaffian solutions are obtained by Tang et al [2]. This equation solved by Tian and Gao [3] via the tanh method,by Zayed [4] via the (G /G) expansion method. The organization of this paper is as follows: firstly, we give the methodology of the improved Bernoulli sub-equation function method. We apply this method to the SWL equation for finding new exact solutions.
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