Abstract
In this article, we examine a (3+1)-dimensional generalized breaking soliton equation which is highly applicable in the fields of engineering and nonlinear sciences. Closed-form solutions in the form of Jacobi elliptic functions of the underlying equation are derived by the method of Lie symmetry reductions together with direct integration. Moreover, the (G′/G)-expansion technique is engaged, which consequently guarantees closed-form solutions of the equation structured in the form of trigonometric and hyperbolic functions. In addition, we secure a power series analytical solution of the underlying equation. Finally, we construct local conserved vectors of the aforementioned equation by employing two approaches: the general multiplier method and Ibragimov’s theorem.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference56 articles.
1. Multiple optical kink solutions for new Painlevé integrable (3+1)-dimensional sine-Gordon equations with constant and time-dependent coefficients;Wazwaz;Optik,2020
2. Painlevé analysis for three integrable shallow water waves equations with time-dependent coefficients
3. Closed-form solutions and conserved vectors of the (3+1)-dimensional negative-order KdV equation;Motsepa;Adv. Math. Model. Appl.,2020
4. Integrability aspects and localized wave solutions for a new (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation;Wazwaz;Nonlinear Dyn.,2019
5. Conservation Laws and Travelling Wave Solutions for Double Dispersion Equations in (1+1) and (2+1) Dimensions
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