folliculitis 发表于 2025-3-26 23:36:37
Prolongation Structure Techniques for the New Hierarchy of Korteweg-de Vries Equationsries equation as the equation of lowest order. This hierarchy differs from the Lax hierarchy of equations which can all be solved by the inverse method associated with the scalar Schrödinger equation as shown by Gardner, Greene, Kruskal, and Miura . The next equation in this new hierarchy isPHON 发表于 2025-3-27 02:20:59
Painlevé Transcendents and Scaling Functions of the Two-Dimensional Ising Modelarouch)on the correlation functions of the two-dimensional Ising model. In particular, I wish to demonstrate how a particular solution of the two-dimensional hyperbolic sine-Gordon equation (also known as the two-dimensional nonlinear Debye-Hückel equation),.plays a fundamental role in the scaled twBereavement 发表于 2025-3-27 05:35:27
http://reply.papertrans.cn/67/6675/667478/667478_33.png宏伟 发表于 2025-3-27 10:49:44
http://reply.papertrans.cn/67/6675/667478/667478_34.pngcondone 发表于 2025-3-27 17:04:39
Conference proceedings 1978 Study Institutes held in Istanbul in 1970, 1972 and 1977. We believe that physics and mathematics can develop best in harmony and in close communication and cooper ation with each other and are sometimes inseparable. With this goal in mind we tried to bring mathematicians and physicists together t委屈 发表于 2025-3-27 20:33:59
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http://reply.papertrans.cn/67/6675/667478/667478_37.pngNarcissist 发表于 2025-3-28 04:50:12
Solutions of Nonlinear Equations Simulating Pair Production and Pair Annihilatione known. We add to this list a class of solutions which correspond to phenomena of the type of pair annihilation, pair production, or cell division. The analysis shows that this class of equations or solutions are very rich.Interregnum 发表于 2025-3-28 09:22:45
http://reply.papertrans.cn/67/6675/667478/667478_39.pngAnthem 发表于 2025-3-28 13:48:39
Painlevé Transcendents and Scaling Functions of the Two-Dimensional Ising Modelo-point function in both the one-phase and two-phase regions. Before I discuss these results, I would like first to review the definition of the 2-d. Ising model.).)and related quantities (Section 2); and then briefly recall the scaling theory hypothesis.).)for correlation functions (Section 3).