Rogue waves of the sixth-order nonlinear Schrödinger equation on a periodic background
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Publication:6156503
DOI10.1088/1572-9494/ac6155zbMath1514.35412OpenAlexW4220718648MaRDI QIDQ6156503
Publication date: 13 June 2023
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1572-9494/ac6155
Jacobian elliptic functionDarboux transformationsixth-order nonlinear Schrödinger equationrogue wave on a periodic background
NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07) Soliton solutions (35C08)
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Cites Work
- Unique continuation properties of the higher order nonlinear Schrödinger equations in one dimension
- Darboux transformation and explicit solutions for two integrable equations
- Darboux transformation and \(N\)-soliton solutions for a more general set of coupled integrable dispersionless system
- Waves that appear from nowhere and disappear without a trace
- Nonlinearization of the Lax system for AKNS hierarchy
- Higher-order integrable evolution equation and its soliton solutions
- Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability
- Rogue wave solutions for the generalized fifth-order nonlinear Schrödinger equation on the periodic background
- On two new types of modified short pulse equation
- Rogue periodic waves in the fifth-order Ito equation
- Rogue periodic waves of the sine-Gordon equation
- Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrödinger equation
- Characteristics of rogue waves on a periodic background for the Hirota equation
- Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations
- \(N\)-fold Darboux transformation and explicit solutions in terms of the determinant for the three-field Blaszak-Marciniak lattice
- Darboux transformations in integrable systems. Theory and their applications to geometry
- Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a 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
- Rogue periodic waves of the focusing nonlinear Schrödinger equation
- Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation
- Rogue periodic waves of the modified KdV equation
- On quasi-periodic waves and rogue waves to the (4+1)-dimensional nonlinear Fokas equation
- Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients
- N-soliton solutions of the KdV6 and mKdV6 equations
- Exact envelope-soliton solutions of a nonlinear wave equation
- Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background