He's variational method for a (2 + 1)-dimensional soliton equation

Darvishi, M. T.; Najafi, Mohammad

doi:10.14419/ijamr.v1i1.1

Cited by 10 publications

(2 citation statements)

References 30 publications

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“…With the development of soliton theory, many powerful methods for obtaining the exact solutions of NETLs have been presented [12][13][14][15][16]. In the present case, we use the variational method [17]. This method is a powerful solution method for the computation of exact traveling wave solutions.…”

Section: Solution and Stability Of Nlsmentioning

confidence: 99%

Transverse Stability in the Discrete Inductance-Capacitance Electrical Network

Tala-Tebue¹,

Kenfack-Jiotsa²

2013

JMP

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This work investigates the dynamics of modulated waves in a coupled nonlinear LC transmission line. By means of a method based on the semi-discrete limit and in suitably scaled coordinates, we derive the two-dimensional NLS equation governing the propagation of slowly modulated waves in the network. The exact transverse solution is found and the analytical criteria of stability of this solution are derived. The condition for which the network can exhibit modulational instability is also determined. The exactness of this analytical analysis is confirmed by numerical simulations performed on the exact equation of the network.

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Section: Solution and Stability Of Nlsmentioning

confidence: 99%

Transverse Stability in the Discrete Inductance-Capacitance Electrical Network

Tala-Tebue¹,

Kenfack-Jiotsa²

2013

JMP

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“…In a recent paper, [28], Chen et al investigated new closed-form soliton solutions of equation (1) using Hirota bilinear form, which produced one soliton and two soliton solutions. In [29],…”

Section: Introductionmentioning

confidence: 99%

Multi-peak soliton solutions of the generalized breaking soliton equation

Prabhash¹,

Kumar²

2022

Phys. Scr.

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In this article, we apply the generalized exponential rational function method to find soliton solutions of generalized (3+1)-dimensional breaking soliton equation, which describes two-dimensional interchange of Riemann wave disseminating alongside y-axis with a long wave disseminating alongside x-axis. As a result, we obtain many soliton solutions to the equation by choosing appropriate parameters. We demonstrate a variety of travelling waves using three-dimensional, two-dimensional and contour plots. We observe that solutions involving parameters can drastically influence the behaviour of solitary waves. Such solutions are applicable to enrich the dynamical study of nonlinear waves in fluid dynamics and other fields of research.

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