Results 61 to 70 of about 1,858,479 (279)
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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Bosonic super-Liouville system: Lax pair and solution [PDF]
International Journal of Theoretical Physics, 1997 LaTeX, no figures, 11 ...
Zhao, Liu, Qu, Changzheng
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On some integrability aspects of the two-component Camassa–Holm equation
Partial Differential Equations in Applied Mathematics, 2022 The integrability of the two-component Camassa–Holm shallow water equation with the gravity acceleration points downwards and upwards is investigated by prolongation structure theory and the geometric approach of pseudo-spherical surfaces.
Deng-Shan Wang
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Binary Bell polynomials and Darboux covariant Lax pairs [PDF]
Glasgow Mathematical Journal, 2001 Hirota representations of soliton equations have proved very useful. They produced many of the known families of multisoliton solutions, and have often led to a disclosure of the underlying Lax systems and infinite sets of conserved quantities. A striking feature is the ease with which direct insight can be gained into the nature of the eigenvalue ...
Lambert, Franklin +2 more
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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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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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Lax pairs on Yang-Baxter deformed backgrounds [PDF]
, 2015 We explicitly derive Lax pairs for string theories on Yang-Baxter deformed backgrounds, 1) gravity duals for noncommutative gauge theories, 2) $\gamma$-deformations of S$^5$, 3) Schr\"odinger spacetimes and 4) abelian twists of the global AdS$_5$\,. Then
Kameyama, Takashi +3 more
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