Schrцdinger Equations in Nonlinear Systems, Liu Wu-Ming, Kengne Emmanuel

Автор: Vieri Benci; Donato Fortunato
Название: Variational Methods in Nonlinear Field Equations
ISBN: 3319361228 ISBN-13(EAN): 9783319361222
Издательство: Springer
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Цена: 79190.00 T
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Описание: The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties.

Автор: Veliev Oktay
Название: Multidimensional Periodic Schrцdinger Operator: Perturbation Theory and Applications
ISBN: 3030245802 ISBN-13(EAN): 9783030245801
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book describes the direct and inverse problems of the multidimensional Schroedinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues.

Автор: Ivrii Victor
Название: Microlocal Analysis, Sharp Spectral Asymptotics and Applications III: Magnetic Schrцdinger Operator 1
ISBN: 3030305392 ISBN-13(EAN): 9783030305390
Издательство: Springer
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Цена: 158380.00 T
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Описание: Smooth theory in dimensions 2 and 3.- Standard Theory.- 2D degenerating magnetic Schrцdinger operator.- 2D magnetic Schrцdinger near boundary.- Magnetic Schrцdinger operator: short loops.- Dirac operator with strong magnetic field.

Автор: Veliev Oktay
Название: Multidimensional Periodic Schrцdinger Operator: Perturbation Theory and Applications
ISBN: 3030245772 ISBN-13(EAN): 9783030245771
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book describes the direct and inverse problems of the multidimensional Schr?dinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch functions in arbitrary dimensions while constructing and estimating the measure of the iso-energetic surfaces in the high-energy regime. Moreover, it presents a unique method proving the validity of the Bethe–Sommerfeld conjecture for arbitrary dimensions and arbitrary lattices. Using the perturbation theory constructed, it determines the spectral invariants of the multidimensional operator from the given Bloch eigenvalues. Some of these invariants are explicitly expressed by the Fourier coefficients of the potential, making it possible to determine the potential constructively using Bloch eigenvalues as input data. Lastly, the book presents an algorithm for the unique determination of the potential. This updated second edition includes an additional chapter that specifically focuses on lower-dimensional cases, providing the basis for the higher-dimensional considerations of the chapters that follow.

Автор: Aktosun Tuncay, Weder Ricardo
Название: Direct and Inverse Scattering for the Matrix Schrцdinger Equation
ISBN: 3030384306 ISBN-13(EAN): 9783030384302
Издательство: Springer
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Цена: 121110.00 T
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Описание: Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schroedinger equation on the half line with the general selfadjoint boundary condition.

Автор: Ivrii Victor
Название: Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV: Magnetic Schrцdinger Operator 2
ISBN: 3030305473 ISBN-13(EAN): 9783030305475
Издательство: Springer
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Цена: 139750.00 T
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Описание: Non-smooth theory and higher dimensions.- Irregular coefficients in dimensions 2, 3.- Full-rank case.- Non-full-rank case.- 4D-Schrцdinger with degenerating magnetic field.- 4D-Schrцdinger Operator with the strong magnetic field.- Eigenvalue asymptotics for Schrцdinger and dirac operators with the strong magnetic field.- Eigenvalue asymptotics: 2D case.- Eigenvalue asymptotics: 3D case.

Название: Nonlinear Systems and Their Remarkable Mathematical Structures
ISBN: 1138601004 ISBN-13(EAN): 9781138601000
Издательство: Taylor&Francis
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Цена: 224570.00 T
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Описание: The book aims to describe some recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete).

Автор: Valery V. Kozlov; Stanislav D. Furta; Lester Senec
Название: Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
ISBN: 3642432409 ISBN-13(EAN): 9783642432408
Издательство: Springer
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Цена: 111790.00 T
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Описание: With a pedagogic format ideal for graduate students, this text includes a wealth of examples focusing on solutions in dynamical systems theory that mirror those used in Lyapunov`s first method, tackling ordinary differential equations expressed as series form.

Автор: Wu-Ming Liu; Emmanuel Kengne
Название: Schr?dinger Equations in Nonlinear Systems
ISBN: 9811365806 ISBN-13(EAN): 9789811365805
Издательство: Springer
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Цена: 121110.00 T
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Описание: This book explores the diverse types of Schr?dinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schr?dinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions. It also discusses the method of investigating both the well-posedness and the ill-posedness of the boundary problem for linear and nonlinear Schr?dinger equations and presents new results. Using simple examples, it then illustrates the results on the boundary problems. For both nonlinear transmission networks and Bose–Einstein condensates, the results obtained are supplemented by numerical calculations and presented as figures.

Автор: Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi
Название: Vanishing Viscosity Method: Solutions to Nonlinear Systems
ISBN: 3110495287 ISBN-13(EAN): 9783110495287
Издательство: Walter de Gruyter
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Цена: 173490.00 T
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Описание:

The book summarizes several mathematical aspects of the vanishing viscosity method and considers its applications in studying dynamical systems such as dissipative systems, hyperbolic conversion systems and nonlinear dispersion systems. Including original research results, the book demonstrates how to use such methods to solve PDEs and is an essential reference for mathematicians, physicists and engineers working in nonlinear science.

Автор: Cheban David N
Название: Global Attractors Of Non-Autonomous Dynamical And Control Systems (2Nd Edition)
ISBN: 9814619825 ISBN-13(EAN): 9789814619820
Издательство: World Scientific Publishing
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Цена: 205920.00 T
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Описание: The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations.

Автор: Sidorov Denis
Название: Integral Dynamical Models: Singularities, Signals and Control
ISBN: 9814619183 ISBN-13(EAN): 9789814619189
Издательство: World Scientific Publishing
Цена: 83430.00 T
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Описание: This volume provides a broad introduction to nonlinear integral dynamical models and new classes of evolutionary integral equations.