Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Optical dromions for complex Ginzburg Landau model with nonlinear media

Optical dromions for complex Ginzburg Landau model with nonlinear media This manuscript studies the optical dromions with beta derivative (BD) applied to the Complex Ginzburg Landau equation (CGLE) with Kerr law, parabolic law, cubic quintic septic law and quadratic cubic law. We obtain bright dromians by using the sine-cosine method (SCM). We will also obtain domain walls with the assistance of Bernoulli equation approach (BEA). Constraint conditions are also listed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

Optical dromions for complex Ginzburg Landau model with nonlinear media

Download PDF
15 pages

Loading next page...
 
/lp/springer-journals/optical-dromions-for-complex-ginzburg-landau-model-with-nonlinear-OVPoVlsXtt
Publisher
Springer Journals
Copyright
Copyright © Editorial Committee of Applied Mathematics 2023
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-023-4044-x
Publisher site
See Article on Publisher Site

Abstract

This manuscript studies the optical dromions with beta derivative (BD) applied to the Complex Ginzburg Landau equation (CGLE) with Kerr law, parabolic law, cubic quintic septic law and quadratic cubic law. We obtain bright dromians by using the sine-cosine method (SCM). We will also obtain domain walls with the assistance of Bernoulli equation approach (BEA). Constraint conditions are also listed.

Journal

Applied Mathematics-A Journal of Chinese Universities – Springer Journals

Published: Mar 1, 2023

Keywords: CGLE; optical dromians; non-Kerr laws; 35J05; 35J10; 35K05; 35L05

References

  • Analytic study on triple-S, triple-triangle structure interactions for solitons in inhomogeneous multi-mode fiber
    Liu, W; Zhang, Y; Wazwaz, A M; Zhou, Q
  • Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation
    Guan, X; Liu, W; Zhou, Q; Biswas, A
  • Analytic study on the influences of higher-order effects on optical solitons in fiber laser
    Fan, X; Qu, T; Huang, S; Chen, X; Cao, M; Zhou, Q; Liu, W
  • Phase-shift controlling of three solitons in dispersion-decreasing fibers
    Liu, S; Zhou, Q; Biswas, A; Liu, W
  • Stable transmission of solitons in the complex cubic-quintic Ginzburg-Landau equation with nonlinear gain and higher-order effects
    Yan, Y; Liu, W
  • Analytical solution for an in-host viral infection model with timeinhomogeneous rates
    Shang, Y
  • Lie algebraic discussion for affinity based information diffusion in social networks
    Shang, Y
  • Deffuant model of opinion formation in one-dimensional multiplex networks
    Shang, Y
  • Travelling-wave solutions of a weakly nonlinear two-dimensional higher-order Kadomtsev-Petviashvili dynamical equation for dispersive shallow-water waves
    Seadawy, A R
  • Fractional solitary wave solutions of the nonlinear higher-order extended KdV equation in a stratified shear flow: Part I
    Seadawy, A R
  • Nonlinear wave solutions of the three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma
    Seadawy, A R
  • Stability analysis for two-dimensional ion-acoustic waves in quantum plasmas
    Seadawy, A R
  • Stability analysis for Zakharov-Kuznetsov equation of weakly nonlinear ionacoustic waves in a plasma
    Seadawy, A R
  • Dispersive Solitary wave solutions of Kadomtsev-Petviashivili and modified Kadomtsev-Petviashivili dynamical equations in unmagnetized dust plasma
    Seadawy, A; El-Rashidy, K
  • Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutions
    Seadawy, A R; Alamri, S Z
  • Solitary wave solutions of tow-dimensional nonlinear Kadomtsev-Petviashvili dynamic equation in a dust acoustic plasmas
    Seadawy, A R
  • Variational Method for the Nonlinear-Dynamics of an Elliptic Magnetic Stagnation Line
    Khater, A H; K Callebaut, D; Helal, M A; Seadawy, A R
  • Variational method for the derivative nonlinear Schrodinger equation with computational applications
    Helal, M A; Seadawy, A R
  • General soliton solutions of an n-dimensional Complex Ginzburg-Landau equation
    Khater, A H; Callebaut, D K; Seadawy, A R
  • Variational Method for the Nonlinear Dynamics of an Elliptic Magnetic Stagnation Line
    Khater, A H; Callebaut, D K; Helal, M A; Seadawy, A R
  • Optical soliton perturbation with full nonlinearity by extended trial function method
    Biswas, A; Ekici, M; Sonmezoglu, A; Arshed, S; Belic, M
  • Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications
    Abdullah; Seadawy, A R; Wang, J
  • Optical solitons with anti-cubic nonlinearity by extended trial equation method
    Ekici, M; Mirzazadeh, M; Sonmezoglu, A; Ullah, M Z; Zhou, Q; Triki, H; P Moshokoa, S; Biswas, A
  • Two-dimensional interaction of a shear flow with a free surface in a stratified fluid and its a solitary wave solutions via mathematical methods
    Seadawy, A R
  • Optical solitons in medium with parabolic law nonlinearity and higher order dispersion
    Zhou, Q; Zhu, Q
  • N-fold Darboux transformation and discrete soliton solutions for the discrete Hirota equation
    Zhao, X J; Guo, R; Hao, H Q
  • Bright and dark soliton solutions for some nonlinear fractional differential equations
    Guner, O; Bekir, A
  • One-soliton shaping and two-soliton interaction in the fifth-order variable-coefficient nonlinear Schrødinger equation
    Yang, C; Liu, W; Zhou, Q; Mihalache, D; Malomed, B A
  • Nonlinear Rayleigh-Taylor instability of the cylindrical flow with mass and heat transfer
    Seadawy, A R; El-Rashidy, K
  • Solitary wave solutions of tow-dimensional nonlinear Kadomtsev-Petviashvili dynamic equation in a dust acoustic plasmas
    Seadawy, A R
  • Benjamin-Feir-instability in nonlinear dispersive waves
    Helal, M A; Seadawy, A R
  • Optical solitons for non-Kerr law nonlinear Schrodinger equation with third and fourth order dispersions
    Nawaz, B; Ali, K; Abbas, S O; Rizvi, S T R; Zhou, Q
  • Optical Solitons for Complex Ginzburg-Landau Model with Beta Derivative in Nonlinear Optics
    Yusuf, A; Inc, M; Aliyu, A I; Baleanu, D
  • A new definition of fractional derivative
    Khalil, R; Al Horani, M; Yousef, A; Sababheh, M