Journal Article10.1016/J.IJLEO.2017.04.032
Applications of extended simple equation method on unstable nonlinear Schrödinger equations
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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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About: This article is published in Optik. The article was published on 01 Jul 2017. The article focuses on the topics: Nonlinear system & Split-step method.
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New solitary wave and other exact solutions of the van der Waals normal form for granular materials
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Highly dispersive optical soliton perturbation of Kudryashov’s arbitrary form having sextic-power law refractive index
Ahmed M. Elsherbeny,Reda A. Elbarkouky,Aly R. Seadawy,Hamdy M. Ahmed,Rabab M. I. El-Hassani,Ahmed H. Arnous +5 more
TL;DR: In this article, a simple integration scheme is executed to secure new dark and singular soliton solutions for the highly dispersive nonlinear Schrodinger's equation having Kudryashov's arbi...
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Construction of Exact Solutions for Gilson–Pickering Model Using Two Different Approaches
TL;DR: In this paper , the extended simple equation method (ESEM) and the generalized Riccati equation mapping (GREM) method are applied to the nonlinear third-order Gilson-Pickering (GP) model to obtain a variety of new exact wave solutions.
References
•Book
Nonlinear Fiber Optics
Govind P. Agrawal
- 01 Jan 1989
TL;DR: The field of nonlinear fiber optics has advanced enough that a whole book was devoted to it as discussed by the authors, which has been translated into Chinese, Japanese, and Russian languages, attesting to the worldwide activity in the field.
The disintegration of wave trains on deep water Part 1. Theory
T. Brooke Benjamin,J. E. Feir +1 more
TL;DR: In this paper, a theoretical analysis of the stability of periodic wave trains to small disturbances in the form of a pair of side-band modes is presented, where the wave train becomes highly irregular far from its origin, even when the departures from periodicity are scarcely detectable at the start.
2.5K
•Journal Article
Collapse of Langmuir Waves
Extended simplest equation method for nonlinear differential equations
TL;DR: The modified simplest equation method is applied to search for the exact solutions of the Sharma–Tasso–Olver and the Burgers–Huxley equations and the new exact Solutions of these equations are obtained.
308
Finite-Amplitude Baroclinic Waves
TL;DR: In this article, a theory for the finite-amplitude behavior of unstable baroclinic waves in a quasi-geostrophic two-layer model is presented, and it is shown that in the absence of dissipation, the equilibrated finite amplitude state exhibits an oscillation.
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