Results 11 to 20 of about 133,722 (289)
Complexiton solutions to integrable equations [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2005 Complexiton solutions (or complexitons for short) are exact solutions newly introduced to integrable equations. Starting with the solution classification for a linear differential equation, the Korteweg-de Vries equation and the Toda lattice equation are
Ma, Wen-Xiu
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Exact solutions to quantum field theories and integrable equations [PDF]
, 1996 The exact solutions to quantum string and gauge field theories are discussed and their formulation in the framework of integrable systems is presented.
Marshakov, A.
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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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Integrable subsystem of Yang--Mills dilaton theory [PDF]
, 2007 With the help of the Cho-Faddeev-Niemi-Shabanov decomposition of the SU(2) Yang-Mills field, we find an integrable subsystem of SU(2) Yang-Mills theory coupled to the dilaton.
A Wereszczyński +7 more
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Integrated solution engineering [PDF]
Companion to the 21st ACM SIGPLAN symposium on Object-oriented programming systems, languages, and applications, 2006 Integrated Solution Engineering helps developers manage software complexity by offering semi-automated support for capturing and mining relationships among artifacts and/or developer tasks at different stages of the software lifecycle, and by aiding developers in the use and management of the information contained in these relationships.
Leiguang Gong +7 more
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Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian
Journal of High Energy Physics, 2021 In these notes we study integrable structures of conformal field theory with BCD symmetry. We realise these integrable structures as gl $$ \mathfrak{gl} $$ (1) affine Yangian “spin chains” with boundaries.
Alexey Litvinov, Ilya Vilkoviskiy
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Fractal and Fractional, 2022 The celebrated Korteweg–de Vries and Kadomtsev–Petviashvili (KP) equations are prototypical examples of integrable evolution equations in one and two spatial dimensions, respectively.
Athanassios S. Fokas +2 more
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New Integrable Sectors in Skyrme and 4-dimensional CP^n Model [PDF]
, 2006 The application of a weak integrability concept to the Skyrme and $CP^n$ models in 4 dimensions is investigated. A new integrable subsystem of the Skyrme model, allowing also for non-holomorphic solutions, is derived. This procedure can be applied to the
A Wereszczyński +19 more
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The generalized dressing method with applications to the integration of variable-coefficient Toda equations; pp. 93–98 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 Integrable variable-coefficient 2D Toda lattice equations are proposed by utilizing a generalized version of the dressing method. Compatibility conditions are given, which ensures that these equations are integrable.
Hui-Hui Dai, Ting Su
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Solution of Integral Equations by Product Integration [PDF]
Proceedings of the American Mathematical Society, 1975 Suppose f , h f,h and G G are functions with values in a normed complete ring. With suitable restrictions on these functions, it is established that \[ f ( x ) = h ( x ) + ∫ a x
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