Journal ArticleDOI
Applications of extended simple equation method on unstable nonlinear Schrödinger equations
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TLDR
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.About:
This article is published in Optik.The article was published on 2017-07-01. It has received 179 citations till now. The article focuses on the topics: Nonlinear system & Split-step method.read more
Citations
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Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology
TL;DR: In this article, the modified Kudryashov method is used to construct new exact solutions for some conformable fractional differential equations, such as generalized reaction duffing (RD) model equation, fractional biological population model and fractional diffusion reaction (DR) equation with quadratic and cubic nonlinearity.
Journal ArticleDOI
Soliton solutions of the nonlinear Schrödinger equation with the dual power law nonlinearity and resonant nonlinear Schrödinger equation and their modulation instability analysis
TL;DR: In this paper, a modified simple equation method is employed to the nonlinear higher order Schrodinger equations for soliton solutions, which is applicable to solve different kind of problems in mathematics and physics.
Journal ArticleDOI
Modulation stability and optical soliton solutions of nonlinear Schrödinger equation with higher order dispersion and nonlinear terms and its applications
TL;DR: In this article, the higher order non-linear Schrodinger equation (NLSE) with cubic quintic nonlinearity describes the propagation of extremely short pulses in optical fibers and the obtained solutions have key applications in physics and mathematics.
Journal ArticleDOI
Elliptic function and solitary wave solutions of the higher-order nonlinear Schrödinger dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity and its stability
TL;DR: In this paper, the higher-order nonlinear Schrodinger equation (NLSE) with fourth-order dispersion, cubic-quintic terms, self-steepening and nonlinear dispersive terms describes the propagation of extremely short pulses in optical fibers.
Journal ArticleDOI
Applications of exact traveling wave solutions of Modified Liouville and the Symmetric Regularized Long Wave equations via two new techniques
TL;DR: In this article, the exact travelling wave solutions of Modified Liouville equation and the Symmetric Regularized Long Wave equation are derived from the exact traveling wave solutions, which are called extended simple equation and exp(-Ψ(ξ))expansion methods.
References
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Book
Nonlinear Fiber Optics
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.
Journal ArticleDOI
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.
Journal Article
Collapse of Langmuir Waves
Journal ArticleDOI
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.
Journal ArticleDOI
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.
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