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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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Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation

Scientific Reports, 2023
In this paper, the exact solutions of generalized nonlinear Schrödinger (GNLS) equation are obtained by using Darboux transformation(DT). We derive some expressions of the 1-solitons, 2-solitons and n-soliton solutions of the GNLS equation via ...
Chengcheng Fan, Li Li, Fajun Yu
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On the Difficulty of Defining “Difficult” in Second-Language Vowel Acquisition

Frontiers in Communication, 2021
Hierarchies of difficulty in second-language (L2) phonology have long played a role in the postulation and evaluation of learning models. In L2 pronunciation teaching, hierarchies are assumed to be helpful in the development of instructional strategies ...
Murray J. Munro
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Lax pair formulation for the Euler equation [PDF]

Physics Letters A, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Friedlander, Susan, Vishik, Misha M.
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Lax pair tensors in arbitrary dimensions [PDF]

Journal of Physics A: Mathematical and General, 1999
8 pages, uses IOP style files. Minor correction. Submitted to J.
Goliath, Martin, Karlovini, Max, Rosquist, Kjell   +2 more
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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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Quantum Toda systems and Lax pairs [PDF]

Communications in Mathematical Physics, 1987
Using the \({\mathbb{P}}\) operator [cf. \textit{L. D. Faddeev}, Integrable models in \((1+1)\)-dimensional quantum field theory, in ``Développements Récents en Théorie des Champs et Mécanique Statistique/Recent Advances in Field Theory and Statistical Mechanics'', Les Houches, Session XXXIX, 2 Août-10 Septembre 1982, J.-B. Zuber and R.
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Simplifications of Lax pairs for differential–difference equations by gauge transformations and (doubly) modified integrable equations

Partial Differential Equations in Applied Mathematics
Matrix 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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Universal Lax Pair for Generalised CalogerosMoser Models

Journal of Non-linear Mathematical Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lax pair for the Adler (lattice Krichever–Novikov) system [PDF]

Physics Letters A, 2002
17 pages, 3 ...
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