Results 1 to 10 of about 1,595,275 (210)
N-Fold Darboux transformation of the discrete Ragnisco–Tu system
Advances in Difference Equations, 2018 In this paper, based on gauge transformation of Lax pairs, we construct an N-fold Darboux transformation for the discrete Ragnisco–Tu equation which is a typical member in the Ragnisco–Tu hierarchy.
Ning Zhang, Tiecheng Xia, QiuYan Jin
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Partial Differential Equations in Applied Mathematics, 2023 An one-fold Darboux transformation for the Lotka–Volterra lattice system is first established using a proper gauge transformation matrix. Then, as a result of the N times one-fold Darboux transformation, the corresponding N-fold Darboux transformation of
Rong-Wu Lu, Xi-Xiang Xu
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A modified Suris hierarchy and N-fold Darboux -Bäcklund transformation
Partial Differential Equations in Applied Mathematics, 2022 A modified Suris hierarchy is derived by discrete zero curvature equation. Bi-Hamiltonian structure of the whole hierarchy is established through the discrete trace identity. And we prove that the obtained hierarchy is Liouville integrable.
Ning Zhang, Xi-Xiang Xu
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The stability of bright–dark solitons in defocusing coupled nonlinear Schrödinger equation
Partial Differential Equations in Applied Mathematics, 2022 The Darboux transformation is a classical method to generate the solitonic solutions for the integrable equations. In this work, we develop the Darboux transformation to analyze the spectral stability of bright–dark soliton for defocusing coupled ...
Liming Ling, Xuan Sun
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Darboux transformation and exact solutions for a four-component Fokas–Lenells equation
Results in Physics, 2021 In the present paper, we introduce a 4 × 4 matrix spectral problem and derive a four-component Fokas–Lenells equation. N-fold Darboux transformations for the four-component Fokas–Lenells equation are constructed by using the gauge transformation between ...
Yihao Li +3 more
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Lax Representation and Darboux Solutions of the Classical Painlevé Second Equation
Advances in Mathematical Physics, 2021 In this article, we present Darboux solutions of the classical Painlevé second equation. We reexpress the classical Painlevé second Lax pair in new setting introducing gauge transformations to yield its Darboux expression in additive form. The new linear
Irfan Mahmood, Muhammad Waseem
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Results in Physics, 2016 We demonstrate that the Darboux transformation in the paper “Soliton solutions by Darboux transformation and some reductions for a new Hamiltonian lattice hierarchy” [Phys. Scr.
Xi-Xiang Xu
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Frontiers in Physics, 2023 In this paper, the non-local reverse space−time fifth-order non-linear Schrödinger(NLS) equation has been investigated, which is proposed by the non-local reduction of Ablowitz–Kaup–Newell–Segur (AKNS) scattering problems.
Xinrui Shi +3 more
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Advances in Mathematical Physics, 2022 A determinant representation of the n-fold Darboux transformation for the integrable nonlocal derivative nonlinear Schödinger (DNLS) equation is presented.
Yali Shen, Ruoxia Yao
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Miura and Darboux transformations in the SUSY KP hierarchies
Nuclear Physics B, 2022 The Miura links between the KP and modified KP hierarchies are extended to the SUSY KP (SKP) and SUSY modified KP hierarchies (SmKP) of Manin Radul and Jacobian types.
Huizhan Chen, Jipeng Cheng, Zhiwei Wu
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