Results 201 to 210 of about 2,294,985 (248)

Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system

Chaos, Solitons & Fractals, 2019
Optical fiber communication system is one of the core supporting systems of the modern internet age. In this paper, under investigation is a higher-order nonlinear Schrodinger system for the simultaneous propagation of two ultrashort optical pulses in an
Su‐Su Chen, B. Tian, Lei Liu, Yu-Qiang Yuan, Chen-Rong Zhang   +4 more
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A generalized complex mKdV equation: Darboux transformations and explicit solutions

, 2020
A new generalized complex modified Korteweg–de Vries equation associated with a 3 × 3 matrix spectral problem is proposed by resorting to the zero-curvature equation.
Yihao Li, Ruomeng Li, Bo Xue, X. Geng
semanticscholar   +1 more source

Darboux transformations for Lamé potentials

Czechoslovak Journal of Physics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Negro, Javier, Nieto, Luis M., Fernndez C., David J.   +2 more
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Higher-order Darboux transformations and Wronskian representations for Schrödinger equations with quadratically energy-dependent potentials

, 2020
We construct higher-order Darboux transformations for Schrodinger equations with quadratically energy-dependent potentials. Similar to the case of conventional Darboux (also known as supersymmetric) transformations, both the solutions and the potentials ...
A. Schulze-Halberg
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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

Waves in Random and Complex Media, 2018
Under investigation in this paper is a fifth-order defocusing nonlinear Schrödinger equation for the attosecond pulses in the optical fiber communication.
Su‐Su Chen, B. Tian, Jun Chai, Xiaoyu Wu, Zhong Du   +4 more
semanticscholar   +1 more source

Darboux transformations for “W-problems”

Physica D: Nonlinear Phenomena, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Steudel, H., Meinel, R.
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Darboux transformations for a matrix long‐wave–short‐wave equation and higher‐order rational rogue‐wave solutions

Mathematical methods in the applied sciences, 2019
A new matrix long‐wave–short‐wave equation is proposed with the of help of the zero‐curvature equation. Based on the gauge transformation between Lax pairs, both onefold and multifold classical Darboux transformations are constructed for the matrix long ...
Ruomeng Li, X. Geng, Bo Xue
semanticscholar   +1 more source

Higher-order Darboux transformations for the massless Dirac equation at zero energy

Journal of Mathematics and Physics, 2019
We construct higher-order Darboux transformations for the two-dimensional massless Dirac equation at zero energy. Both standard and confluent transformations are applicable.
A. Schulze-Halberg
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On the Darboux Transformation. I

gmj, 1995
Abstract Automorphisms of the family of all Sturm-Liouville equations y″ = qy are investigated. The classical Darboux transformation arises as a particular case of a general result.
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Dressing methodvs. classical Darboux transformation

Il Nuovo Cimento B Series 11, 1984
In this paper we recall some of the essential properties of the classical Darboux transformation and establish its equivalence with the dressing method. In this way we can elucidate and co-ordinate different notions existing in the literature, like Darboux matrix, Darboux transformation and Backlund transformation, which, although being different, are ...
LEVI, Decio, RAGNISCO, Orlando, SYM A.
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