Titlebook: Soliton Phenomenology; Vladimir G. Makhankov Book 1990 Springer Science+Business Media Dordrecht 1990 Potential.Schrödinger equation.Solit

很像弓]

Some Physical Models and Nonlinear Differential Equationsscription of the behavior of such quantum systems must exist. The Heisenberg model provides the basis for the theoretical study of a wide class of ferromagnets at the quantum level. The question arises of formulating a consistent ‘reduction procedure’ connecting quantum statistical models and classical field models.

雀斑

Physically Interesting Nonlinear Differential Equationsematical properties of some of them, they fulfil the same role in the theory of nonlinear differential equations as do elliptic, parabolic and wave equations in the theory of linear partial differential equations and are therefore universal.

怕失去钱

The Class of Soliton Solutions to the Vector Version of the Nonlinear Schrödinger Equation With Selfd are generated via the solution of the linear Schrödinger equation . with the potential .(.,.) satisfying some consistency conditions (or equations). We have already considered such equations in the preceding chapters: for the scalar variant, see the formulae (2.4), (2.1)–(2.10), of chapter 2, and for the vector variant see Chapter 3 and 4.

brachial-plexus

The Existence of Soliton-Like Solutionsence of soliton-like and particle-like solutions will follow.. We then formulate the concept of a mechanical analogy, whereby the conditions for the existence of soliton-like and particle-like solutions may be visualized and, in principle, can be developed for non-Lagrangian systems. Here we consider .-dimensional models.

油膏

Introductionphysics have led to universality of the nonlinear approach. In addition to nonlinear differential equations describing a broad class of stochastic systems, the theory of integrable systems has evolved into a specific branch of mathematical physics.

Abbreviate

旧石器

conference

阐释

The Nonlinear Schrödinger Equation with ,(,,,) Internal Symmetry and the Sine-Gordon Equationnnection with the theory of a non-ideal Bose gas. We focus on the Hermitian models because these occur frequently in applications; also models having a non-compact internal symmetry and the peculiarities they possess are discussed in details. In conclusion, we present an outline of the Sine-Gordon e

avarice