Solutions for time-fractional coupled nonlinear Schrödinger equations arising in optical solitons
DOI10.1016/J.CJPH.2021.10.014zbMATH Open1548.35242MaRDI QIDQ6542130
Newton Okposo, P. Veeresha, Emamuzo N. Okposo
Publication date: 21 May 2024
Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)
Laplace transformcoupled nonlinear Schrödinger equationsCaputo derivative\(q\)-homotopy analysis transform method
PDEs in connection with optics and electromagnetic theory (35Q60) Periodic solutions to PDEs (35B10) Fractional derivatives and integrals (26A33) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Series solutions to PDEs (35C10) NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace transform (44A10) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations
- Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
- Approximate solutions to time-fractional Schrödinger equation via homotopy analysis method
- Modulation instabilities in a system of four coupled, nonlinear Schrödinger equations
- Exact traveling wave solutions to the fractional coupled nonlinear Schrödinger equations
- A reliable technique to study nonlinear time-fractional coupled Korteweg-de Vries equations
- Analytical approach for fractional extended Fisher-Kolmogorov equation with Mittag-Leffler kernel
- Fractional approach for a mathematical model of atmospheric dynamics of CO\(_2\) gas with an efficient method
- A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations
- A new collection of real world applications of fractional calculus in science and engineering
- Control of dark and anti-dark solitons in the \((2+1)\)-dimensional coupled nonlinear Schrödinger equations with perturbed dispersion and nonlinearity in a nonlinear optical system
- Approximate analytical solution of two coupled time fractional nonlinear Schrödinger equations
- Linearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrödinger equations
- Applications of fractional calculus in physics
- Some physical applications of fractional Schrödinger equation
- First integral method for non-linear differential equations with conformable derivative
- Dynamics of a fractional epidemiological model with disease infection in both the populations
- A mathematical analysis of ongoing outbreak<scp>COVID</scp>‐19 in India through nonsingular derivative
- An efficient numerical approach for fractional multidimensional diffusion equations with exponential memory
- A new analytic solution of fractional coupled Ramani equation
- On exact solutions for time-fractional Korteweg-de Vries and Korteweg-de Vries-Burger's equations using homotopy analysis transform method
- Solution for fractional Zakharov-Kuznetsov equations by using two reliable techniques
- A new type of equation of motion and numerical method for a harmonic oscillator with left and right fractional derivatives
This page was built for publication: Solutions for time-fractional coupled nonlinear Schrödinger equations arising in optical solitons
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6542130)