On Some Complex Aspects of the (2+1)-dimensional Broer-Kaup-Kupershmidt System

Abstract

Abstract. The improved Bernoulli sub-equation function method is used in extracting some new exponential function solutions to the (2+1)-dimensional Broer-KaupKupershmidt system. It is of vital effort to look for more solutions of the (2+1)-dimensional Broer-Kaup-Kupershmidt system, which are very helpful for coastal and civil engineers to apply the nonlinear water models in a harbor and coastal design. All the obtained solutions satisfied the (2+1)-dimensional Broer-Kaup-Kupershmidt system. The two-and three-dimensional shapes of all the obtained solutions in this paper are also presented. All the computations and the graphics plots in this study are carried out with the aid of the Wolfram Mathematica 9.

Optical solitons to the fractional Schrödinger-Hirota equation

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The new extended rational SGEEM for construction of optical solitons to the (2+1)–dimensional Kundu–Mukherjee–Naskar model

“…This area has drawn the attention of many scientists for more than two decades. Different computational methods have been used to reveal solutions of various type of NLEEs such as the modified exp(−Ψ(η))-expansion function method [7][8][9], the first integral method [10,11], the improved Bernoulli sub-equation function method [12,13], the trial solution method [14,15], the new auxiliary equation method [16], the extended simple equation method [17], the solitary wave ansatz method [18], the functional variable method [19] and several others [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”

On the wave solutions to the TRLW equation

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