Dynamics of Solitons in High-Order Nonlinear Schrödinger Equations in Fiber Optics
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Publication:5215344
DOI10.1007/978-3-030-12232-4_7zbMath1430.35219OpenAlexW2922528412MaRDI QIDQ5215344
Publication date: 10 February 2020
Published in: Studies in Systems, Decision and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-12232-4_7
PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)
Cites Work
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- Conservation laws, bilinear forms and solitons for a fifth-order nonlinear Schrödinger equation for the attosecond pulses in an optical fiber
- Dynamics of wide and snake-like pulses in coupled Schrödinger equations with full-modulated nonlinearities
- Solitons in a generalized space- and time-variable coefficients nonlinear Schrödinger equation with higher-order terms
- Integrable systems of partial differential equations determined by structure equations and Lax pair
- Exact solutions in nonlinearly coupled cubic-quintic complex Ginzburg-Landau equations
- Instability domain of Bose-Einstein condensates with quantum fluctuations and three-body interactions
- Soliton solutions of the coupled dispersionless equation
- Integrability
- Evolution of solitary waves for a perturbed nonlinear Schrödinger equation
- Modulation instability: The beginning
- Conservation laws for the nonlinear Schrödinger equation
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Collision of \(N\)-solitons in a fifth-order nonlinear Schrödinger equation
- Vector solitons in an extended coupled Schrödinger equations with modulated nonlinearities
- Some special solutions to the hyperbolic NLS equation
- Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization
- Lax pair and new exact solutions of the nonlinear Dirac equation
- Solitons in multi-body interactions for a fully modulated cubic-quintic Gross-Pitaevskii equation
- Generalized Darboux transformation and \(N\)th order rogue wave solution of a general coupled nonlinear Schrödinger equations
- Solitary waves in dispersive complex media. Theory, simulation, applications.
- Darboux transformations in integrable systems. Theory and their applications to geometry
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- Ultrashort self-similar solutions of the cubic-quintic nonlinear Schrödinger equation with distributed coefficients in the inhomogeneous fiber
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- New method for deriving nonlinear integrable systems
- Conservation laws and soliton solutions for a nonlinear Schrödinger equation with self-consistent sources in plasmas
- The Painlevé property for partial differential equations
- Symmetries and Integrability
- Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
- Method for Solving the Korteweg-deVries Equation
- Rogue-pair and dark-bright-rogue waves of the coupled nonlinear Schrödinger equations from inhomogeneous femtosecond optical fibers
- Solitons in an erbium-doped nonlinear fibre medium with stimulated inelastic scattering
- Three Sources and Three Component Parts of the Concept of Dissipative Solitons
- Integrals of nonlinear equations of evolution and solitary waves
- Dark soliton solutions of the coupled Hirota equation in nonlinear fiber
