New solitary wave in shallow water, plasma and ion acoustic plasma via the GZK-BBM equation and the RLW equation

Roshid, Harun-Or; Rahman, Nizhum; Pervin, Mst. Razia

doi:10.1016/j.jppr.2017.02.002

Cited by 27 publications

(22 citation statements)

References 16 publications

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“…[17] investigate exact solutions of nonlinear time fractional Klein -Gordon equation by using generalized Kudryashov. The modified simple equation method is performed in [18], multi-soliton solutions are found in [19].…”

Section:   mentioning

confidence: 99%

The Investigation of Exact Traveling Wave Solutions of the (2+1)-Dimensional Burger Equation using the Generalized Kudryashov Methods

Pervin¹

2017

IJMTT

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In this paper, using generalized kudryashov method, we present some new explicit formulas of exact traveling the (2+1)-Dimensional Burger equation. Three exact traveling wave solutions in terms exponential function are found from the investigation. It is shown that the generalized kudryashov method is a very effective and powerful mathematic tool for solving nonlinear evolution equations in mathematical physics and engineering.Keywords -The generalized kudryashov method; the (2+1)-Dimensional Burger equation; traveling wave solutions.

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Section:   mentioning

confidence: 99%

The Investigation of Exact Traveling Wave Solutions of the (2+1)-Dimensional Burger Equation using the Generalized Kudryashov Methods

Pervin¹

2017

IJMTT

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“…Numerous researchers arranged through NEEs to build voyaging wave arrangement by actualize a few strategies. The techniques that are entrenched in late writing, for example, extended Kudryashov method [1], Modefied simple equation method [2], New extended (G'/G) expansion method [3], [4], Darboux transformation [5], trial solution method [6], Exp-Function Method [7], Multiple Simplest Equation Method [8]. Nofal applied Simple equation method for nonlinear partial differential equations [10].…”

Section: Introductionmentioning

confidence: 99%

Rouge wave solutions of a nonlinear pseudo-parabolic physical model through the advance exponential expansion method

Bashar¹,

Roshid²

2020

IJPR

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In this work, we decide the proliferation of nonlinear voyaging wave answers for the dominant nonlinear pseudo-parabolic physical model through the (1+1)-dimensional Oskolkov equation. With the assistance of the advance -expansion strategy compilation of disguise adaptation an innovative version of interacting analytical solutions regarding, hyperbolic and trigonometric function with some refreshing parameters. We analyze the behavior of these solutions of Oskolkov equations for the specific values of the reared parameters such as rouge wave, multi solution, breather wave bell and kink shape etc. The dynamics nonlinear wave solution is examined and demonstrated in 3-D and 2-D plots with specific values of the perplexing parameters are plotted. The advance -expansion method solid treatment for looking through fundamental nonlinear waves that advance assortment of dynamic models emerges in engineering fields.

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“…Many scholars planned through NEEs to construct traveling wave solution by implement several methods. The procedures that are well established in recent literature such as extended Kudryashov method [1], Modefied simple equation method [2], New extended (G'/G) expansion method [3][4], Darboux transformation [5], trial solution method [6], Exp-Function Method [7], Multiple Simplest Equation Method [8]. In this paper we implement simple equation method to execute innovative traveling wave solution.…”

Section: Introductionmentioning

confidence: 99%

“…This system illustrates the dynamics of an incompressible viscoelastic Kelvin-Voigt fluid. It was indicated in [20][21] that the parameter λ can be negative and the negativeness of the parameter λ does not deny the physical meaning of equation (2). We implemented the simple equation method to solve equation (1) and obtained new solutions which could not be attained in the past.…”

Section: Introductionmentioning

confidence: 99%

Breather Wave and Kinky Periodic Wave Solutions of One-Dimensional Oskolkov Equation

Roshid¹,

Bashar²

2019

MMEP

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In this work, we confer the propagation of nonlinear Kinky periodic wave and breather wave for the dominant nonlinear pseudo-parabolic physical models: the one-dimensional Oskolkov equation is explored. By executing simple equation method, compilation of disguise adaptation of exact nonlinear wave solutions with some noteworthy parameters for the Oskolkov equations is accessible. The elements of acquired nonlinear wave arrangements are broke down and delineated in figures by choosing suitable parameters. The simple equation scheme is solid treatment for seeking fundamental nonlinear waves that improve assortment of dynamic models emerges in designing fields. The presentation of this technique is dependable, direct, and easy to execute contrasted with other existing strategies.

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New solitary wave in shallow water, plasma and ion acoustic plasma via the GZK-BBM equation and the RLW equation

Cited by 27 publications

References 16 publications

The Investigation of Exact Traveling Wave Solutions of the (2+1)-Dimensional Burger Equation using the Generalized Kudryashov Methods

The Investigation of Exact Traveling Wave Solutions of the (2+1)-Dimensional Burger Equation using the Generalized Kudryashov Methods

Rouge wave solutions of a nonlinear pseudo-parabolic physical model through the advance exponential expansion method

Breather Wave and Kinky Periodic Wave Solutions of One-Dimensional Oskolkov Equation

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