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Abundant soliton solutions for the Kundu–Eckhaus equation via tan(ϕ(ξ))-expansion method
Jalil Manafian,Mehrdad Lakestani +1 more
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In this article, the improved tan Φ ( ξ ) / 2 -expansion method is proposed to seek more general exact solutions of the Kundu-Eckhaus equation.About:
This article is published in Optik.The article was published on 2016-07-01. It has received 114 citations till now. The article focuses on the topics: Soliton & Partial differential equation.read more
Citations
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Optical solitons and conservation law of Kundu–Eckhaus equation
Mohammad Mirzazadeh,Yakup Yıldırım,Emrullah Yaşar,Houria Triki,Qin Zhou,Seithuti P. Moshokoa,Malik Zaka Ullah,Aly R. Seadawy,Aly R. Seadawy,Anjan Biswas,Anjan Biswas,Milivoj R. Belic +11 more
TL;DR: In this paper, the authors obtained optical soliton solutions to the Kundu-Eckhaus equation with general coefficients using the Riccati-Bernoulli's sub-ODE method and Kudryashov's scheme.
Journal ArticleDOI
New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod
Aly R. Seadawy,Jalil Manafian +1 more
TL;DR: In this paper, the authors examined the effectiveness of an integration scheme called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Journal ArticleDOI
The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzéica type equations in nonlinear optics
TL;DR: Using the Painleve property, the traveling wave transformation, and the sine-Gordon expansion method (SGEM), a series of traveling wave solutions for the Tzitzeica type equations were obtained in this article.
Journal ArticleDOI
A large family of optical solutions to Kundu–Eckhaus model by a new auxiliary equation method
TL;DR: In this paper, the authors suggest a large family of optical solutions to the Kundu-Eckhaus model and evaluate the modifed form of the auxiliary equation approach as a generalization of different methods widely used to construct the solutions.
Journal ArticleDOI
Optical soliton solutions for the Gerdjikov-Ivanov model via tan(ϕ/2)-expansion method
Jalil Manafian,Mehrdad Lakestani +1 more
TL;DR: In this article, the improved tan(ϕ(ξ)/2)-expansion method (ITEM) is further extended into Gerdjikov-Ivanov (GI) model and the exact traveling wave solutions including solitons, kink, periodic and rational solutions have been found.
References
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Variational iteration method – a kind of non-linear analytical technique: some examples
TL;DR: In this paper, a variational iteration method for non-linear problems is proposed, where the problems are initially approximated with possible unknowns and a correction functional is constructed by a general Lagrange multiplier, which can be identified optimally via the variational theory.
Book
Partial differential equations : methods and applications
TL;DR: In this article, the newly developed Adomian decomposition method along with its modification and some traditional techniques are described and revised, and the new method is described. But the method is not discussed.
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Solving nonlinear fractional partial differential equations using the homotopy analysis method
TL;DR: In this paper, the homotopy analysis method is applied to solve nonlinear fractional partial differential equations (FPDE) with initial conditions, which are introduced by replacing some integer-order time derivatives by fractional derivatives, and the results of applying this procedure to the studied cases show the high accuracy and efficiency of the new technique.
Journal ArticleDOI
Optical solitons in a monomode fiber
TL;DR: In this paper, the propagation of optical solitons in a monomode fiber was discussed as a model of long-distance high-bit-rate transmission system, and the integrability of the perturbed nonlinear Schrodinger equation was shown.
Journal ArticleDOI
Nonlinear intersubband absorption and refractive index change in n-type δ -doped GaAs for different donor distributions
TL;DR: In this paper, both the linear and nonlinear inter-subband optical absorption coefficients and the refractive index changes are calculated for the uniform, triangular and Gaussian-like donor distribution.
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