Riemann‐Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5416
Abstract: 1College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai, China 2Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia 3Department of Mathematics and Statistics, University of South Florida, Tampa, Florida 4Department of Mathematics,… read more here.
Keywords: riemann hilbert; mathematics; problems soliton; soliton solutions ... See more keywords
New soliton solutions of the 2D‐chiral nonlinear Schrodinger equation using two integration schemes
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7140
Abstract: In this paper, the new exact solutions for 2D‐chiral nonlinear Schrodinger equation (CNLSE) are acquired using two proficient integration tool, namely, the new extended direct algebraic method (EDAM) and extended hyperbolic function method (EHFM). We… read more here.
Keywords: soliton solutions; nonlinear schrodinger; solutions chiral; chiral nonlinear ... See more keywords
Soliton solutions in nonlocal nonlinear coupler
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DOI: 10.1007/s11071-016-3255-6
Abstract: We study the existence of soliton pairs in nonlocal nonlinear coupler and the effects of nonlocal nonlinearity on the stability and types of soliton pairs. Bright soliton, dipole soliton, periodic soliton, double soliton and dark… read more here.
Keywords: nonlocal nonlinear; solutions nonlocal; soliton; soliton solutions ... See more keywords
On Lie symmetries and soliton solutions of $$(2+1)$$(2+1)-dimensional Bogoyavlenskii equations
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DOI: 10.1007/s11071-018-4509-2
Abstract: The present article is devoted to find some invariant solutions of the $$(2+1)$$(2+1)-dimensional Bogoyavlenskii equations using similarity transformations method. The system describes $$(2+1)$$(2+1)-dimensional interaction of a Riemann wave propagating along y-axis with a long wave… read more here.
Keywords: lie symmetries; bogoyavlenskii equations; soliton solutions; dimensional bogoyavlenskii ... See more keywords
Riemann–Hilbert method and multi-soliton solutions of the Kundu-nonlinear Schrödinger equation
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DOI: 10.1007/s11071-020-06102-7
Abstract: In this work, we study the Kundu-nonlinear Schrodinger (Kundu-NLS) equation (so-called the extended NLS equation), which can describe the propagation of the waves in dispersive media. A Lax spectral problem is used to construct the… read more here.
Keywords: riemann hilbert; kundu nonlinear; soliton solutions; solutions kundu ... See more keywords
On the soliton solutions for an intrinsic fractional discrete nonlinear electrical transmission line
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DOI: 10.1007/s11071-021-06300-x
Abstract: This paper focuses on finding soliton solutions for an intrinsic fractional discrete nonlinear electrical transmission lattice. Our investigation is based on the fact that for a realistic system, the electrical characteristics of a capacitor (and… read more here.
Keywords: soliton solutions; intrinsic fractional; solutions intrinsic; discrete nonlinear ... See more keywords
New soliton solutions of Davey–Stewartson equation with power-law nonlinearity
Sign Up to like & getrecommendations! Published in 2017 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-017-0950-6
Abstract: This study is related to new soliton solutions of Davey–Stewartson equation (DSE) with power-law nonlinearity. The generalized Kudryashov method which is one of the analytical methods has been used for finding exact solutions of this… read more here.
Keywords: davey stewartson; stewartson equation; soliton solutions; new soliton ... See more keywords
Construction of optical solitons of magneto-optic waveguides with anti-cubic law nonlinearity
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DOI: 10.1007/s11082-021-03288-x
Abstract: Two efficient integration schemes, new extended hyperbolic function and generalized tanh are employed to discover optical soliton solutions to magneto-optic waveguides that retains anti-cubic form of nonlinear refractive index. Bright, dark, periodic singular, singular, and… read more here.
Keywords: optic waveguides; anti cubic; optical solitons; construction optical ... See more keywords
Exact solutions and optical soliton solutions for the nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity
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DOI: 10.1007/s11587-017-0319-y
Abstract: In this article, we apply the soliton ansatz method combined with the Jacobi elliptic equation method which is different from the F-expansion method to obtain several types of Jacobi elliptic function solutions, the optical bright-dark-singular… read more here.
Keywords: solutions nonlinear; nonlinear schr; soliton solutions; solutions optical ... See more keywords
Soliton solutions in two-dimensional Lorentz-violating higher derivative scalar theory
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DOI: 10.1016/j.aop.2018.07.025
Abstract: This paper shows a new approach to obtain analytical topological defects of a 2D Myers-Pospelov Lagrangian for two scalar fields. Such a Lagrangian presents higher-order kinetic terms, which lead us to equations of motion which… read more here.
Keywords: methodology; theory; solutions two; two dimensional ... See more keywords
Dark two-soliton solutions for nonlinear Schrödinger equations in inhomogeneous optical fibers
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DOI: 10.1016/j.cjph.2019.08.006
Abstract: Abstract In this paper, the variable coefficient nonlinear Schrodinger equation is investigated analytically. With the bilinear method, the bilinear forms and analytic soliton solutions are obtained. Based on the obtained analytic solutions, the effect of… read more here.
Keywords: solutions nonlinear; nonlinear schr; soliton solutions; two soliton ... See more keywords