Breather-to-soliton transitions and nonlinear wave interactions for the nonlinear Schrödinger equation with the sextic operators in optical fibers
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Publication:2968307
DOI10.1002/andp.201600227zbMath1357.35260OpenAlexW2537347982MaRDI QIDQ2968307
Publication date: 13 March 2017
Published in: Annalen der Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/andp.201600227
Darboux transformationbreather-soliton interactionsbreather-to-soliton transitionssextic NLS equation
Related Items (16)
Transition of the breather wave of six-order nonlinear Schrödinger equation ⋮ Rational solutions for the nonlocal sixth-order nonlinear Schrödinger equation ⋮ Inelastic interactions, numerical breathers and chaotic wave fields for a focusing Kundu–Eckhaus equation in a nonlinear optical fiber ⋮ Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber ⋮ Lax pair, binary Darboux transformations and dark-soliton interaction of a fifth-order defocusing nonlinear Schrödinger equation for the attosecond pulses in the optical fiber communication ⋮ Odd‐Fold Darboux Transformation, Breather, Rogue‐Wave and Semirational Solutions on the Periodic Background for a Variable‐Coefficient Derivative Nonlinear Schrödinger Equation in an Inhomogeneous Plasma ⋮ Bound‐state soliton and rogue wave solutions for the sixth‐order nonlinear Schrödinger equation via inverse scattering transform method ⋮ Breathers, multi-peak solitons, breather-to-soliton transitions and modulation instability of the variable-coefficient fourth-order nonlinear Schrödinger system for an inhomogeneous optical fiber ⋮ Localized waves for the mixed coupled Hirota equations in an optical fiber ⋮ Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrödinger equation ⋮ Characteristics of the lumps and stripe solitons with interaction phenomena in the \((2 + 1)\)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation ⋮ Gramian solutions and soliton interactions for a generalized (3 + 1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in a plasma or fluid ⋮ Solitons in nonlinear systems with higher-order effects ⋮ Asymptotic behaviour of the solutions for a weakly damped anisotropic sixth-order Schrödinger type equation in \(\mathbb{R}^2\) ⋮ Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrödinger equation ⋮ Generation and control of multiple solitons under the influence of parameters
Cites Work
- Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell-Bloch equations
- Breathers and rogue waves of the fifth-order nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain
- Extreme waves that appear from nowhere: on the nature of rogue waves
- Water waves, nonlinear Schrödinger equations and their solutions
- Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients
- Moving breathers and breather-to-soliton conversions for the Hirota equation
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