Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background
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Publication:5858762
DOI10.1063/5.0030072zbMath1467.35273OpenAlexW3132548995MaRDI QIDQ5858762
Publication date: 14 April 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0030072
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Cites Work
- Unnamed Item
- Waves that appear from nowhere and disappear without a trace
- Rogue waves in the ocean
- Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation
- Darboux transformation and soliton solutions in the parity-time-symmetric nonlocal vector nonlinear Schrödinger equation
- The exact rogue wave recurrence in the NLS periodic setting via matched asymptotic expansions, for 1 and 2 unstable modes
- Dark and antidark solitons for the defocusing coupled Sasa-Satsuma system by the Darboux transformation
- Rogue periodic waves in the fifth-order Ito equation
- Rogue periodic waves of the sine-Gordon equation
- Characteristics of rogue waves on a periodic background for the Hirota equation
- Breathers and multi-soliton solutions for the higher-order generalized nonlinear Schrödinger equation
- Water waves, nonlinear Schrödinger equations and their solutions
- Nonlinearizations of spectral problems of the nonlinear Schrödinger equation and the real-valued modified Korteweg–de Vries equation
- Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
- On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles
- Rogue periodic waves of the focusing nonlinear Schrödinger equation
- Rogue periodic waves of the modified KdV equation
- Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems
- Binary Darboux transformation for the coupled Sasa-Satsuma equations
- Superregular breathers, characteristics of nonlinear stage of modulation instability induced by higher-order effects
- Rogue Waves of the Higher-Order Dispersive Nonlinear Schrödinger Equation
- A description of the quantum superalgebraUq[sl(n+1|m)via creation and annihilation generators]
- Multi‐breather and high‐order rogue waves for the nonlinear Schrödinger equation on the elliptic function background
- On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic Heisenberg spin chain
- Exact envelope-soliton solutions of a nonlinear wave equation
- Generalized Darboux transformation and rogue wave solutions for the higher-order dispersive nonlinear Schrödinger equation
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