Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation

NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Theta functions and curves; Schottky problem (14H42) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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The stability spectrum for elliptic solutions to the sine-Gordon equation
The stability spectrum for elliptic solutions to the focusing NLS equation
Stability of elliptic solutions to the sinh-Gordon equation
Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability
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Rogue periodic waves of the sine-Gordon equation
Modulational instability and homoclinic orbit solutions in vector nonlinear Schrödinger equation
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Theta vocabulary. I
Effective integration of ultra-elliptic solutions of the focusing nonlinear Schrödinger equation
A generalized complex mKdV equation: Darboux transformations and explicit solutions
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Darboux transformation and multi-dark soliton forN-component nonlinear Schrödinger equations
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Soliton on a cnoidal wave background in the coupled nonlinear Schrödinger equation
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The Orbital Stability of Elliptic Solutions of the Focusing Nonlinear Schrödinger Equation
On improving the effectiveness of periodic solutions of the NLS and DNLS equations
KdV breathers on a cnoidal wave background
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Rogue-wave and breather solutions of the Fokas-Lenells equation on theta-function backgrounds
Computation of large-genus solutions of the Korteweg-de Vries equation

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