Titlebook: KdV ’95; Proceedings of the I Michiel Hazewinkel,Hans W. Capel,Eduard M. Jager Conference proceedings 1995 Springer Science+Business Media

積極詞匯

Instructive History of the Quantum Inverse Scattering Methodwas described in a short and famous research letter by Gardner, Green, Kruskal, and Miura (GGKM) [2] in 1967. Its quantum version, which is ten years younger, was devised mostly in Leningrad (now St. Petersburg). In what follows, I shall underline some highlights and lessons of this latter developme

相信

ascetic

Algebraic—Geometrical Methods in the Theory of Integrable Equations and Their Perturbationsrity’ of the finite-gap or algebraic—geometrical theory of integration of nonlinear equations — one of the most important components of the branch of modern mathematical physics, which is called the theory of integrable systems or the soliton theory. The main goal of this paper is to present the key

作嘔

過分自信

出生

nutrients

水汽

Symmetry Reductions and Exact Solutions of Shallow Water Wave Equationss, which is derivable using the so-called Boussinesq approximation. Two special cases of this equation, or the equivalent nonlocal equation obtained by setting .. = ., have been discussed in the literature. The case α = 2. was discussed by Ablowitz, Kaup, Newell and Segur (.. .. .., . (1974), 249),

生命

A KdV Equation in 2 + 1 Dimensions: Painlevé Analysis, Solutions and Similarity Reductionshe Darboux—Moutard—Matveev formalism arises in the context of this analysis. Some solutions and their interactions are also analyzed. The singular manifold equations are also used to determine symmetry reductions. This procedure can be related with the direct method of Clarkson and Kruskal.

bifurcate