Nonlinear Waves Theory Computer by Todorov (34 results)

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Taschenbuch. Condition: Neu. Neuware - This book concentrates upon the study of mathematical models of nonlinear solitary waves known as solitons. As the name indicates, a soliton is a localized wave that travels without changing its shape, such as an ocean wave. An important feature of solitons is that they keep their shapes after collisions with other solitons. Interesting to anybody who wants to unearth the real sense and nature of solitary waves, and the relevant mathematical tools to use for effective investigation and analysis of these phenomena, the text focuses on numerical analysis of solitons. The integrability and multidimensionality of solitons is inextricably bound up with the approach of investigation and, as the more physical systems are not fully integrable, even in one dimension, numerical analysis is the main tool to investigate and understand the pertinent physical mechanisms.…

Kartoniert / Broschiert. Condition: New. KlappentextInteresting to anybody who wants to unearth the real sense and nature of solitary waves, and the relevant mathematical tools to use for effective investigation and analysis of these phenomena, the text focuses on numerical ana.

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Paperback. Condition: Brand New. 184 pages. 10.00x7.00x0.40 inches. In Stock.

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paperback. Condition: New. Paperback. Pub Date: 2021-06-01 Language: English Publisher: Harbin Institute of Technology Press Nonlinear Waves: Theory. Computer Simulation. Experiments (English) is divided into three chapters to introduce the related theories of nonlinear waves.?The first chapter mainly introduces the Boussineske equation. which is a shallow water surface wave model. which considers the balance between nonlinearity and dispersion. and maintains the waveform (transition wave); the second chapter specifica.…

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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The Boussinesq equation is the first model of surface waves in shallow water that considers the nonlinearity and the dispersion and their interaction as a reason for wave stability known as the Boussinesq paradigm. This balance bears solitary waves that behave like quasi-particles. At present, there are some Boussinesq-like equations. The prevalent part of the known analytical and numerical solutions, however, relates to the 1d case while for multidimensional cases, almost nothing is known so far. An exclusion is the solutions of the Kadomtsev-Petviashvili equation. The difficulties originate from the lack of known analytic initial conditions and the nonintegrability in the multidimensional case. Another problem is which kind of nonlinearity will keep the temporal stability of localized solutions.The system of coupled nonlinear Schroedinger equations known as well as the vector Schroedinger equation is a soliton supporting dynamical system. It is considered as a model of light propagation in Kerr isotropic media. Along with that, the phenomenology of the equation opens a prospect of investigating the quasi-particle behavior of the interacting solitons. The initial polarization of the vector Schroedinger equation and its evolution evolves from the vector nature of the model. The existence of exact (analytical) solutions usually is rendered to simpler models, while for the vector Schroedinger equation such solutions are not known. This determines the role of the numerical schemes and approaches. The vector Schroedinger equation is a spring-board for combining the reduced integrability and conservation laws in a discrete level.The experimental observation and measurement of ultrashort pulses in waveguides is a hard job and this is the reason and stimulus to create mathematical models for computer simulations, as well as reliable algorithms for treating the governing equations. Along with the nonintegrability, one more problem appears here - the multidimensionality and necessity to split and linearize the operators in the appropriate way.…