Results 51 to 60 of about 3,408 (164)
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 +2 more
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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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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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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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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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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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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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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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Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation
Abstract and Applied Analysis, 2014 Binary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation.
Wenjuan Rui, Yufeng Zhang
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