Results 81 to 90 of about 1,858,479 (279)
Bihamiltonian Structure of the Two-component Kadomtsev-Petviashvili Hierarchy of type B
, 2010 We employ a Lax pair representation of the two-component BKP hierarchy and construct its bihamiltonian structure with R-matrix techniques.Comment: 20 ...
Wu, Chao-Zhong, Xu, Dingdian
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Integrable coupled massive Thirring model with field values in a Grassmann algebra
Journal of High Energy Physics, 2023 A coupled massive Thirring model of two interacting Dirac spinors in 1 + 1 dimensions with fields taking values in a Grassmann algebra is introduced, which is closely related to a SU(1) version of the Grassmannian Thirring model also introduced in this ...
B. Basu-Mallick +3 more
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A new two-dimensional lattice model that is "consistent around a cube"
, 2003 For two-dimensional lattice equations one definition of integrability is that the model can be naturally and consistently extended to three dimensions, i.e., that it is "consistent around a cube" (CAC).
Clarkson P A +6 more
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International Journal of Mathematics and Mathematical Sciences, 2005 The relationship between solutions of the sinh-Laplace equation and the determination of various kinds of surfaces of constant Gaussian curvature, both positive and negative, will be investigated here.
Paul Bracken
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A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation
Abstract and Applied Analysis, 2014 We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2+1-dimensional KdV equation ...
Zhen Wang, Li Zou, Zhi Zong, Hongde Qin
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Soliton solution of the nonlinear Schrodinger equation with houndary conditions(带边界的非线性薛定锷方程的孤立子解)
Zhejiang Daxue xuebao. Lixue ban, 2001 本文用构造Lax Pair的方法，得到对于光纤通讯系统有重要意义的非线性薛定锷（NLS)方程的可积边界条件，然后求得满足可积边界条件时的1-孤立子解和2-孤立子解.
HONGTao(洪涛) +1 more
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Integrability of Kersten-Krasil'shchik coupled KdV-mKdV equations: singularity analysis and Lax pair
, 2002 The integrability of a coupled KdV-mKdV system is tested by means of singularity analysis. The true Lax pair associated with this system is obtained by the use of prolongation technique.Comment: 9 ...
Ayşe Karasu Kalkanli +3 more
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Some invariant solutions and conservation laws of a type of long-water wave system
Advances in Difference Equations, 2019 We propose a generalized long-water wave system that reduces to the standard water wave system. We also obtain the Lax pair and symmetries of the generalized shallow-water wave system and single out some their similarity reductions, group-invariant ...
Xiangzhi Zhang, Yufeng Zhang
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The Dn Ruijsenaars-Schneider model
, 2001 The Lax pair of the Ruijsenaars-Schneider model with interaction potential of trigonometric type based on Dn Lie algebra is presented. We give a general form for the Lax pair and prove partial results for small n.
Arutyunov G E +29 more
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Open Physics, 2019 The investigations of integrability, exact solutions and dynamics of nonlinear partial differential equations (PDEs) are vital issues in nonlinear mathematical physics.
Xu Bo, Zhang Sheng
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