Results 101 to 110 of about 481 (193)

Exact optical soliton solutions and interaction dynamics in fractional nonlinear systems

Frontiers in Applied Mathematics and Statistics
This paper aims to provide a rigorous analytical investigation of multisoliton dynamics within a conformable concatenated nonlinear framework that unifies the nonlinear Schrödinger, Sasa Satsuma, and Lakshmanan Porsezian Daniel equations through the ...
Saleh M. Alzahrani, Chokri Chniti, Dalal Marzouq AlMutairi   +2 more
doaj   +1 more source

New Exact Solutions of (3+1)-Dimensional Modified Quantum Zakharov-Kuznetsov Equation

, 2019
In this work, Generalized Kudryashov method (GKM) has been used to obtain exact solutions of(3+1)-dimensional modified quantum Zakharov-Kuznetsov (MQZK) equation. Dark optical soliton solutions ofthis equation have been found by using this method.
Kastal, Sevgi, Demiray, Şeyma Tülüce
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Investigation of the complex dynamical structure of bifurcation and dark soliton solutions to fractional generalized double sinh-Gordon equation

Partial Differential Equations in Applied Mathematics
In the current research work, the classical wave equation is combined with a nonlinear sinh source term in the sinh-Gordon equation. It has been used in several scientific domains such as differential geometry theory, integrable quantum field theory ...
Ayesha Naseem, Rashida Hussain
doaj   +1 more source

Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method

Ain Shams Engineering Journal
The higher order nonlinear Schrödinger equation (NLSE) describes ultrashort pulse propagation in optical fibres. In this paper, we discuss analytically the non-linear schrödinger equation with higher order dispersion terms up to sixth order and sextic power law of nonlinearity with the help of the improved modified extended tanh-function scheme.
Islam Samir, Hamdy M. Ahmed, Adel Darwish, Hisham H. Hussein   +3 more
openaire   +2 more sources

Investigation of solitons in magneto-optic waveguides with Kudryashov’s law nonlinear refractive index for coupled system of generalized nonlinear Schrödinger’s equations using modified extended mapping method

Nonlinear Analysis: Modelling and Control
In this work, we investigate the optical solitons and other waves through magneto-optic waveguides with Kudryashov’s law of nonlinear refractive index in the presence of chromatic dispersion and Hamiltonian-type perturbation factors using the modified extended mapping approach.
Karim K. Ahmed, Niveen Badra, Hamdy M. Ahmed, Wafaa B. Rabie, Mohammad Mirzazadeh, Mostafa Eslami, Mir Sajjad Hashemi   +6 more
openaire   +3 more sources

Analytical treatment for the conformable space-time fractional Benney-Luke equation via two reliable methods

, 2017
In this study, with help of the Mathematica software, we employ the Kudryashov method and the modified extended tanh expansion method with the Riccati differential equation to analytically treat the Benney-Luke equation.
RahmatullahIbrahim Nuruddeen, Khalid K. Ali   +1 more
core   +1 more source

Soliton solutions for the nonlinear Zoomeron equation applying the modified Khater method. [PDF]

Sci Rep
Saleem A, Abbas M, El-Rahman MA, Birhanu A, Yousaf MZ, Ahmad H.   +5 more
europepmc   +1 more source

Analysis Modulation Instability and Parametric Effect on Soliton Solutions for M-Fractional Landau–Ginzburg–Higgs (LGH) Equation Through Two Analytic Methods

This manuscript studies the M-fractional Landau–Ginzburg–Higgs (M-fLGH) equation in comprehending superconductivity and drift cyclotron waves in radially inhomogeneous plasmas, especially for coherent ion cyclotron wave propagation, aiming to
Mahtab Uddin, Md. Mamunur Roshid, Mohamed Abdalla, Mohammad Safi Ullah   +3 more
core   +1 more source

Optical solutions to time-fractional improved (2+1)-dimensional nonlinear Schrödinger equation in optical fibers. [PDF]

Sci Rep
Murad MAS, Tedjani AH, Li Z, Hussain E.
europepmc   +1 more source

Derivation of dispersive solitons with quadrupled power law of nonlinearity using improved modified extended tanh function method

In this work, The proposed model by Kudryashov with quadruple law of nonlinearity and fourth order dispersion is studied. This model describes the propagation of a highly disperse solitons in optical fibers, which will be with a huge privilege in using ...
Ahmed, Hamdy Mohamed, soliman, Islam Samir, fahim, mina, Eldeb, Kamal Ahmed   +3 more
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