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Solitons and other solutions to the coupled nonlinear Schrödinger type equations

Solitons and other solutions to the coupled nonlinear Schrödinger type equations AbstractNonlinear Schrödinger type equations arise from a wide variety of fields, such as fluids, nonlinear optics, the theory of deep water waves, plasma physics, and so on. In this paper, two integration schemes are employed to obtain solitons, periodic waves and other forms of solutions of the coupled nonlinear Schrödinger type equations. The two schemes that are studied in this paper are the Bäcklund transformation of Riccati equation and the trial solution method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

Solitons and other solutions to the coupled nonlinear Schrödinger type equations

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Publisher
de Gruyter
Copyright
© 2017 Walter de Gruyter GmbH, Berlin/Boston
ISSN
2192-8029
eISSN
2192-8029
DOI
10.1515/nleng-2016-0048
Publisher site
See Article on Publisher Site

Abstract

AbstractNonlinear Schrödinger type equations arise from a wide variety of fields, such as fluids, nonlinear optics, the theory of deep water waves, plasma physics, and so on. In this paper, two integration schemes are employed to obtain solitons, periodic waves and other forms of solutions of the coupled nonlinear Schrödinger type equations. The two schemes that are studied in this paper are the Bäcklund transformation of Riccati equation and the trial solution method.

Journal

Nonlinear Engineering – de Gruyter

Published: Jun 27, 2017

References

  • Exact traveling wave solutions of nonlinear PDEs in mathematical physics using the modified simple equation method
    Zayed
  • Singularity analysis and explicit solutions of a new coupled nonlinear Schrödinger type equation
    Yong
  • Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations
    Lu
  • Soliton solutions to resonant nonlinear Schrödinger s equation with time - dependent coefficients by trial solution approach
    Mirzazadeh
  • A multiple exp - function method for nonlinear differential equations and its application
    Ma
  • A semi - explicit multi - symplectic splitting scheme for a - coupled nonlinear Schrödinger equation
    Qian
  • Optical solitons with resonant nonlinear Schrödinger s equation using - expansion scheme Optoelectronics and Advanced Materials
    Arnous
  • One method for finding exact solutions of nonlinear differential equations Non
    Kudryashov
  • Extended transformed rational function method and applications to complexiton solutions
    Zhang
  • Coupled - mode envelope solitary waves in a pair of cubic Schrödinger equations with cross modulation : Analytical solution and collisions with application to Rossby waves Solitons and Fractals
    Tan
  • Exact soliton solutions , shape changing collisions , and partially coherent solitons in coupled nonlinear Schrödinger equations
    Kanna
  • Soliton solutions to resonant nonlinear Schrödinger s equation with time - dependent coefficients by modified simple equation method
    Arnous
  • Babu Non - autonomous bright matter wave solitons in spinor Bose Einstein condensates
    Kanna
  • Exact soliton solutions of coupled nonlinear Schrödinger equations : Shape - changing collisions , logic gates , and partially coherent solitons
    Kanna
  • Optical solitons with higher order dispersions in parabolic law medium by trial solution approach
    Arnous
  • Explicit and exact solutions to a Kolmogorov - Petrovskii - Piskunov equation Non - Linear Mech
    Ma
  • Solitons in optical metamaterials with trial solution approach and Backlund transformation of Riccati equation
    Arnous
  • Breather and rogue wave solutions for a nonlinear Schrödinger - type system in plasmas
    Meng
  • The - expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
    Wang
  • DNA dynamics studied using the homogeneous balance method Chin
    Zayed
  • A coupled nonlinear Schrödinger type equation and its explicit solutions
    Ma
  • General multicomponent Yajima - Oikawa system : Painlevé analysis , soliton solutions , and energy - sharing collisions
    Kanna
  • Soliton solutions to resonant nonlinear Schrödinger s equation with time - dependent coefficients by trial solution approach
    Mirzazadeh
  • Trial equation method to nonlinear evolution equations with rank inhomogeneous : mathematical discussions and its applications
    Liu
  • Exact solutions of the Drinfel d Wilson equation using the Bäcklund transformation of Riccati equation and trial function approach
    Arnous
  • Modified simple equation method for nonlinear evolution equations
    Jawad
  • Derivation of soliton solutions to nonlinear evolution equations using He s variational principle
    Elboree
  • Nonlinear interaction of dispersive waves with equal group velocity
    Inoué