Many methods have been developed by scientists to find solutions for nonlinear problems. In this paper, the general structure of modified trial equation method (MTEM) is introduced, and MTEM used some exact (2+1)-dimensional Broer-Kaup-Kupershmidt (BKK), Kolmogorov-Petrovskii-Piskunov (KPP) equations. Firstly, an algebraic system obtained reducing partial differential (NLPDE) ordinary under tra...

In this paper, the Painlevé integrable property of (1 + 1)-dimensional generalized Broer–Kaup (gBK) equations is first proven. Then, Bäcklund transformations for gBK are derived by using truncation. Based on a special case transformations, linearized into heat conduction equation. Inspired reduced Burgers Starting from linear equation, two forms N-soliton solutions and rational with singularity...

This paper presents the semi-analytical analysis of fractional-order non-linear coupled system Whitham-Broer-Kaup equations. An iterative process is designed to analyze analytical findings specified partial fractional derivatives scheme utilizing Yang transformation with Adomian technique. The derivative considered in sense Caputo-Fabrizio. Two numerical problems show suggested method. Moreover...

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