Journal ArticleDOI
Double-wave solutions and Lie symmetry analysis to the (2 + 1)-dimensional coupled Burgers equations
Mohamed S. Osman,Mohamed S. Osman,Dumitru Baleanu,Abdullahi Rashid Adem,Kamyar Hosseini,Mohammad Mirzazadeh,Mostafa Eslami +6 more
TLDR
In this paper, a series of double-wave solutions of the (2+1)-dimensional coupled Burgers equations are derived by making use of the generalized unified method (GUM), and the Lie symmetry technique (LST) is also utilized for the symmetry reductions.About:
This article is published in Chinese Journal of Physics.The article was published on 2020-02-01. It has received 106 citations till now. The article focuses on the topics: Symmetry (physics) & Nonlinear system.read more
Citations
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Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg–de Vries equations
Choonkil Park,Rahmatullah Ibrahim Nuruddeen,Khalid K. Ali,Lawal Muhammad,Mohamed S. Osman,Mohamed S. Osman,Dumitru Baleanu +6 more
TL;DR: In this paper, the authors investigate the class of fifth-order Korteweg-de Vries equations by devising suitable novel hyperbolic and exponential ansatze.
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Hetero-Bäcklund transformation and similarity reduction of an extended (2+1)-dimensional coupled Burgers system in fluid mechanics
TL;DR: In this article, an extended (2+1)-dimensional coupled Burgers system in fluid mechanics is investigated, where the authors construct a hetero-Backlund transformation and a similarity reduction, depending on the coefficients in the system.
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Lie symmetries, optimal system and group-invariant solutions of the (3+1)-dimensional generalized KP equation
TL;DR: In this paper, a (3+1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation with weakly non-linear restoring forces and frequency dispersion was constructed by applying the Lie symmetry method.
References
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The solution of coupled Burgers' equations using Adomian-Pade technique
TL;DR: The numerical results demonstrate that ADM–PADE (MADM-PADE) technique gives the approximate solution with faster convergence rate and higher accuracy than using ADM (M ADM).
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New exact solutions of nonlinear conformable time-fractional Boussinesq equations using the modified Kudryashov method
Kamyar Hosseini,Reza Ansari +1 more
TL;DR: In this paper, the modified Kudryashov method was used to derive exact solutions for nonlinear Boussinesq equations with conformable time-fractional derivative.
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One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada–Kotera equation
TL;DR: In this article, a single-and double-soliton rational solution for the VcSK model is presented. But the model is not considered in this paper, as the authors assume that the velocity, the amplitude and the shape of the wave cannot be affected by variable coefficients, and there is an inelastic collision (the collision that makes change in amplitude of the soliton waves and shifts in their trajectories).
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Multiple-front solutions for the Burgers equation and the coupled Burgers equations
TL;DR: Multiple-front solutions for the Burgers equation and the coupled Burgers equations are examined using the tanh–coth method and the Cole–Hopf transformation.
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A study of optical wave propagation in the nonautonomous Schrödinger-Hirota equation with power-law nonlinearity
TL;DR: In this paper, the non-autonomous Schrodinger-Hirota equation with power-law nonlinearity via the Unified Method was investigated and new nonautonomous optical wave solutions were obtained in polynomial function solutions type.