Results 51 to 60 of about 4,590 (301)
Partial Differential Equations in Applied MathematicsMatrix differential–difference Lax pairs play an essential role in the theory of integrable nonlinear differential–difference equations. We present sufficient conditions which allow one to simplify such a Lax pair by matrix gauge transformations ...
Sergei Igonin
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On the complete integrability of an equation having solitons but not known to have a Lax pair
International Journal of Mathematics and Mathematical Sciences, 1986 It is usually assumed that a system having N-soliton solutions is completely integrable. Here we have analyzed a set of equations occuring in case of capillary gravity waves.
A. Roychowdhury, G. Mahato
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Binary Nonlinearization of Lax Pairs
, 1996 8 pages, latex, to appear in the Proceedings of Nonlinear Physics ...
Ma, Wen-Xiu, Fuchssteiner, Benno
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Anterior Cruciate Ligament Repair: Surgical Technique Using Augmentation With Biocomposite Scaffold
Arthroscopy Techniques, EarlyView.Abstract Repair of the anterior cruciate ligament has recently regained interest over the past decade. Such repairs can be augmented with nonabsorbable suture for strength or biologic scaffolds to promote healing. This technique uses the BioBrace, a porous 3‐dimensional collagen scaffold made from bioresorbable bovine type I collagen that is reinforced
Caleb Berta +6 more
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A symmetric difference-differential Lax pair for Painlevé VI [PDF]
, 2017 We present a Lax pair for the sixth Painlevé equation arising as a continuous isomonodromic deformation of a system of linear difference equations with an additional symmetry structure. We call this a symmetric difference-differential Lax pair.
Rains, Eric, Ormerod, Christopher M.
core
, 2021 International audienceWe consider Fredholm determinants of matrix convolution operators associated to matrix versions of the $n - $th Airy functions.
Tarricone, Sofia
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Arthroscopy Techniques, EarlyView.Abstract In patients with recurrent anterior shoulder dislocation and glenoid bone loss between 10% and 20%, isolated Bankart repair remains associated with a certain rate of postoperative redislocation. The optimal management for this patient subset is controversial. We describe an all‐arthroscopic technique using allogeneic bone strips for free graft
Yingbin Wu +5 more
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The N-soliton solutions of the n-component generalized Sasa-Satsuma system: Riemann-Hilbert method
Nuclear Physics BUsing the Riemann-Hilbert method, the paper systematically investigates the n-component generalized Sasa-Satsuma system. By utilizing the Tu scheme, we systematically construct the n-component generalized Sasa-Satsuma integrable hierarchy, and obtain the
Zhiguo Ren, Jing Yu, Lin Huang
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Journal of High Energy Physics, 2018 Surprising links between the deformation of 2D quantum field theories induced by the composite T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ operator, effective string models and the AdS/CFT correspondence, have recently emerged.
Riccardo Conti +3 more
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Partial Differential Equations in Applied Mathematics, 2022 In this paper, the main work is to study the N-soliton solutions for the M-component nonlinear Schrödinger equations, the matrix Riemann–Hilbert problem is constructed for this integrable hierarchies by analyzing the block matrix spectral problem of the ...
Jian Li, Tiecheng Xia
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