Results 161 to 170 of about 6,078 (188)

The Darboux-type transformations of integrable lattices

Reports on Mathematical Physics, 2001
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Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber

Chaos, Solitons and Fractals, 2021
Dan-Yu Yang, Chen-Rong Zhang
exaly  

N-fold Darboux transformation and solitonic interactions for the Kraenkel–Manna–Merle system in a saturated ferromagnetic material

Nonlinear Dynamics, 2022
Yuan Shen
exaly  

Generalized Darboux transformation and solitons for the Ablowitz–Ladik equation in an electrical lattice

Applied Mathematics Letters, 2023

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Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber

Applied Mathematics Letters, 2021
Meng Wang
exaly  

Lax pair, Darboux transformation, breathers and rogue waves of an $$\pmb {N}$$-coupled nonautonomous nonlinear Schrödinger system for an optical fiber or a plasma

Nonlinear Dynamics, 2022
Dan-Yu Yang, Meng Wang, Xin Zhao
exaly  

Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain

Chaos, Solitons and Fractals, 2021
Meng Wang
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Riemann and Darboux Integration

2023
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Darboux Integrals for Schr??dinger Planar Vector Fields via Darboux Transformations

2019
In this paper we study the Darboux transformations of planar vector fields of Schr??dinger type. Using the isogaloisian property of Darboux transformation we prove the ''invariance'' of the objects of the ''Darboux theory of integrability''. In particular, we also show how the shape invariance property of the potential is important in order to preserve
Acosta-Hum??nez, P.B., Pantazi, C.
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Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions

Physical Review E, 2012
Liming Ling, Qingping Liu
exaly