KEGEL
发表于 2025-3-25 05:07:57
0075-8450 ented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations. The direct method to build solutions includes the analysis of singularities à la Painlevé, Lie symmetries leaving the equation invariant, extension of the Hirota method,
熔岩
发表于 2025-3-25 08:35:16
Sprachen – Sprachmittlung – Integrationsystems such as the Kadomtsev-Petviashvili, two dimensional Toda and Hirota-Miwa equations, the algebraic structure of such nonlinear evolution systems is explained. Finally, extensions of the method including .-analogue, ultra-discrete systems and trilinear forms are also presented.
averse
发表于 2025-3-25 12:50:46
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BRAWL
发表于 2025-3-25 16:40:46
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BIAS
发表于 2025-3-25 20:52:23
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CONE
发表于 2025-3-26 01:54:22
Exact solutions of nonlinear partial differential equations by singularity analysis,y the same toolbox, when one looks for analytic solutions in closed form. The basic tool is the appropriate use of the singularities of the solutions, and this can be done without knowing these solutions in advance. Since the elaboration of the . by Weiss et al., many improvements have been made. Af
Terminal
发表于 2025-3-26 07:50:58
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Liberate
发表于 2025-3-26 11:49:15
Nonlinear superposition formulae of integrable partial differential equations by the singular manifclasses of solutions particularly stable under the nonlinear interaction. The existence of such solutions represents one of the different aspects of the property of ., and it can be connected to the existence of a . from which a . can be established.
acclimate
发表于 2025-3-26 14:29:39
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Contend
发表于 2025-3-26 18:13:42
Lie groups, singularities and solutions of nonlinear partial differential equations, set of differential equations is presented. Special attention is devoted to algorithms for classifying subalgebras of Lie algebras. The concept of conditional symmetries is introduced and applied to perform dimensional reduction.