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
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Publication:2296970
DOI10.1007/s11071-019-04992-wzbMath1430.35218OpenAlexW2945770209MaRDI QIDQ2296970
Weitian Yu, Anjan Biswas, Milivoj R. Belic, Houria Triki, Qin Zhou, Wen-Jun Liu
Publication date: 18 February 2020
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-019-04992-w
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
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Cites Work
- A new integrable \((3+1)\)-dimensional KdV-like model with its multiple-soliton solutions
- Blow-up solutions to nonlinear Schrödinger system at multiple points
- Dark solitons behaviors for a (2+1)-dimensional coupled nonlinear Schrödinger system in an optical fiber
- Generation and control of multiple solitons under the influence of parameters
- A new ZK-BO equation for three-dimensional algebraic Rossby solitary waves and its solution as well as fission property
- Combined ZK-mzk equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions
- Symmetry analysis for three-dimensional dissipation Rossby waves
- \(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system
- Multi-soliton solutions for a \((2+1)\)-dimensional variable-coefficient nonlinear Schrödinger equation
- Infinitely many solutions for a gauged nonlinear Schrödinger equation
- A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line
- Nonclassical reductions of a \((3+1)\)-cubic nonlinear Schrödinger system
- A new ZK-ILW equation for algebraic gravity solitary waves in finite depth stratified atmosphere and the research of squall lines formation mechanism
- Error estimates of exponential wave integrator Fourier pseudospectral methods for the nonlinear Schrödinger equation
- Solitons and other solutions for higher-order NLS equation and quantum ZK equation using the extended simplest equation method
- Vector multi-rogue waves for the three-coupled fourth-order nonlinear Schrödinger equations in an alpha helical protein
- Some semirational solutions and their interactions on the zero-intensity background for the coupled nonlinear Schrödinger equations
- Direct nonlinear Fourier transform algorithms for the computation of solitonic spectra in focusing nonlinear Schrödinger equation
- Variational approach for breathers in a nonlinear fractional Schrödinger equation
- Dynamic behaviors of interaction solutions of (3 + 1)-dimensional shallow water wave equation
- Decoupled local/global energy-preserving schemes for the \(N\)-coupled nonlinear Schrödinger equations
- A two-mode modified KdV equation with multiple soliton solutions
- Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions
- Multiple soliton solutions and other exact solutions for a two-mode KdV equation
- Exact Soliton Solutions for the (2+1)-Dimensional Coupled Higher-Order Nonlinear Schrödinger Equations in Birefringent Optical-Fiber Communication*
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Existence of positive solutions to a linearly coupled Schrödinger system with critical exponent
- Asymptotic behavior of the nonlinear damped Schrödinger equation
- Solitons for a (2+1)-dimensional coupled nonlinear Schrödinger system with time-dependent coefficients in an optical fiber
- The investigation of soliton solutions and conservation laws to the coupled generalized Schrödinger–Boussinesq system
- A study on a two‐wave mode Kadomtsev–Petviashvili equation: conditions for multiple soliton solutions to exist
- Generalized finite-difference time-domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU
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