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Bright, periodic, compacton and bell-shape soliton solutions of the extended QZK and (3 + 1)-dimensional ZK equations

M. Ali Akbar, +2 more
- 01 Oct 2021 - 
- Vol. 73, Iss: 10, pp 105003
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This article is published in Communications in Theoretical Physics.The article was published on 2021-10-01. It has received 14 citations till now. The article focuses on the topics: Compacton & Soliton.

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Citations
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Solitary wave solutions for a strain wave equation in a microstructured solid

TL;DR: In this paper , the Sardar-subequation method (SSM) was used to obtain various types of soliton solutions such as periodic singular solitons, bright-solitons and dark-bright ones.
Journal ArticleDOI

Application of modified exp-function method for strain wave equation for finding analytical solutions

TL;DR: In this article , the strain wave equation in micro-structured solids is considered and the modified exp-function method is used to construct abundantly distinct, accurate solutions to nonlinear partial differential equations.
Journal ArticleDOI

Computational and analytical solutions to modified Zakharov–Kuznetsov model with stability analysis via efficient techniques

TL;DR: In this article, the authors presented the analytic and numerical solutions of the newly modified Zakharov-Kuznetsov equation, which was used to study the waves in different plasmas.
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Invariance analysis for determining the closed-form solutions, optimal system, and various wave profiles for a (2+1)-dimensional weakly coupled B-Type Kadomtsev-Petviashvili equations

TL;DR: In this article , the weakly coupled B-type Kadomtsev-Petviashvili equation was solved using Lie symmetry reduction and closed-form solutions using the Lie classical method.
References
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Journal ArticleDOI

A sine-cosine method for handlingnonlinear wave equations

TL;DR: A sine-cosine method is used for obtaining traveling wave solutions for nonlinear wave equations with minimal algebra and is applied to selected physical models to illustrate the usage of the main results.
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The first-integral method to study the Burgers?Korteweg?de Vries equation

TL;DR: In this article, the authors apply the theory of commutative algebra to the Burgers-Korteweg-de Vries equation and propose a new approach which they call the first-integral method to study it.
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Applications of extended simple equation method on unstable nonlinear Schrödinger equations

TL;DR: In this article, the extended form of simple equation method (SEM) is employed to construct exact travelling wave solutions of unstable nonlinear schroodinger equation and modify unstable non linear schrodinger equation.
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Three-dimensional nonlinear modified Zakharov-Kuznetsov equation of ion-acoustic waves in a magnetized plasma

TL;DR: The stability of solitary traveling wave solutions of the mZK equation to three-dimensional long-wavelength perturbations are investigated and the electrostatic field potential and electric field in form traveled wave solutions are found.
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Application of mathematical methods on the system of dynamical equations for the ion sound and Langmuir waves

TL;DR: In this article, the exact travelling wave solutions of the system of equations for the ion sound and Langmuir waves (SEISLWs) were derived in the form of trigonometric functions, hyperbolic functions, periodic solitary waves, bright and dark solitons, kink solutions of SEISLW.
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