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Monday, August 3, 2020 | History

4 edition of Nonlinear Waves in Dispersive and Dissipative Systems (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics) found in the catalog.

Nonlinear Waves in Dispersive and Dissipative Systems (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics)

  • 104 Want to read
  • 35 Currently reading

Published by Chapman & Hall/CRC .
Written in English

    Subjects:
  • Classical mechanics,
  • Mathematics for scientists & engineers,
  • Mathematics,
  • Science/Mathematics,
  • Algebra - General,
  • Applied,
  • Mathematics / Differential Equations

  • The Physical Object
    FormatLoose leaf
    Number of Pages235
    ID Numbers
    Open LibraryOL9512312M
    ISBN 100582304040
    ISBN 109780582304048

    () Existence and stability of pulse waves bifurcated from front and back waves in bistable reaction-diffusion systems. Japan Journal of Industrial and Applied Mathematics , () Propagation failure in excitable media.   Nonlinear Waves in One-Dimensional Dispersive Systems (Oxford Mathematical Monographs) by Prabhu Lal Bhatnagar (Author) ISBN ISBN Why is ISBN important? ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both work.

    In fluid dynamics, dispersion of water waves generally refers to frequency dispersion, which means that waves of different wavelengths travel at different phase waves, in this context, are waves propagating on the water surface, with gravity and surface tension as the restoring a result, water with a free surface is generally considered to be a dispersive medium. We reported on the dissipative soliton resonance (DSR) phenomenon in a mode-locked Yb-doped fiber laser by using the nonlinear polarization rotation technique. It was found that the multi-pulse oscillation under high pump power could be circumvented by properly adjusting the polarization controllers, namely, the wave-breaking-free rectangular pulse in DSR region was achieved. As the DSR.

    Solitons can self-assemble into stable bound states, also denoted as soliton molecules that exhibit molecule-like dynamics. Soliton molecules have been predominantly investigated in the anomalous dispersion mode-locked fiber lasers. However, the soliton molecule dynamic evolution is still largely unexplored in the normal dispersion regime. We reveal here that, in the normal dispersion regime.   Even more complicated behaviour of waves in solids is observed if nonlinear effects enter into the play [5,12]. The main attention is paid usually for travelling solitary wave solution of the corresponding nonlinear dispersive-dissipative Korteveg-de Vries-type equation [5,].


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Nonlinear Waves in Dispersive and Dissipative Systems (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics) Download PDF EPUB FB2

This monograph investigates a wide range of problems where nonlinear wave phenomena play a crucial role, for instance in nonlinear acoustics, fluid dynamics, plasma physics and magnetohydrodynamics. The aim of the book is to deliver a general approach to the investigation of complicated mechanical systems affected by the action of different external forces, taking into account the intrinsic.

Introduction to wave theory and basic mathematical techniques --Nonlinear waves in finite liquid layers --Nonlinear acoustic waves in coupled fields --Modelling of nonlinear wave propagation and interaction in multimode systems with coupled modes --Supplements: explicit solutions to nonlinear wave equations.

Series Title. Nonlinear waves in one-dimensional dispersive systems | Bhatnagar P.L. | download | B–OK. Download books for free. Find books. We propose an asymptotic method to study nonlinear partial differential equations for dispersive waves, modified by the addition of a small term—which may be a small damping, for example.

This work constitutes a generalization of that of J. Luke[1]. A number of new effects : A. Trad. nonlinear dispersive waves, Computers and Mathematics with Applications 64 () Seadawy, A.R., and El-Rashidy, K., Traveling wave solutions for some coupled nonlinear. Author of more than academic papers and other publications including 6 books, among them "Nonlinear waves in dispersive and dissipative systems with coupled fields" (Addison, Wesley.

Longman, ), “Technology Transfer in the United States”. The contents is 18 papers related to the asymptotic analysis and qualitative research paper concerning the problems of nonlinear wave equations and nonlinear dispersive equations such as nonlinear Schrödinger equations, the Hartree equation, the Camassa–Holm equation, the.

Completely integrable systems 49 Chapter 2. Constant coefficient linear dispersive equations 55 The Fourier transform 62 Fundamental solution 69 Dispersion and Strichartz estimates 73 Conservation laws for the Schr¨odinger equation 82 The wave equation stress-energy tensor 89 Xs,bspaces 97 Chapter 3.

Global attraction to solitary waves in nonlinear dispersive Hamiltonian systems Vladimir Buslaev (St. Petersburg University), Andrew Comech (Texas A&M University), Alexander Komech (University of Vienna), Boris Vainberg (UNC - Charlotte) – 1 Overview of the Field The long time asymptotics for nonlinear wave equations.

In this paper, we develop a geometrical theory for waves in excitable reacting media. Using singular perturbation arguments and dispersion of traveling plane wave trains, we derive an approximate theory of wave front propagation which has strong resemblance to the geometrical diffraction theory of high frequency waves in hyperbolic systems, governed by the eikonal equation.

Emergent phenomena are ubiquitous in nature and refer to spatial, temporal, or spatiotemporal pattern formation in complex nonlinear systems driven out of equilibrium that is not contained in the microscopic descriptions at the single-particle level. Examples range from novel phases of matter in both quantum and classical many-body systems, to galaxy formation or neural dynamics.

J. Bogning, (), Analytical soliton solutions and wave solutions of discrete nonlinear cubic-quintique Ginzburg-Landau equations in array of dissipative optical system.

American Journal of Computational and Applied Mathematics, 3 (2), This book brings together a comprehensive account of major developments in the theory and applications of nonlinear dispersive waves, nonlinear water waves, KdV and nonlinear Schrodinger equations, Davey-Stewartson equation, Benjamin-Ono equation and nonlinear instability phenomena.

Unidirectional propagation of long waves in nonlinear dispersive systems may be modeled by the Benjamin-Bona-Mahony-Burgers equation, a third order partial differential equation incorporating linear dissipative and dispersive terms, as well as a term covering nonlinear wave phenomena.

For higher orders of the nonlinearity, the equation may have unstable solitary wave solutions. 1 The purpose and subject matter of the book 1 Chapter 6 Non-conservative Hamiltonian systems and dissipative systems 58 Non-linear damped oscillator with an external force 58 One-dimensional waves in non-linear highly dispersive media We study the influence of higher-order effects such as third order dispersion (TOD), fourth order dispersion (FOD), quintic nonlinearity (QN), self steepening (SS) and second order nonlinear dispersion (SOND) on the dynamics of dissipative soliton (DS) in metamaterials.

Non-Conservative Hamiltonian Systems and Dissipative Systems. Part III: Natural (Free) Oscillations and Waves in Linear and Non-Linear Systems. Natural Oscillations of Non-Linear Oscillators. McCall, and R. Guyer, “ A new theoretical paradigm to describe hysteretic, discrete memory and nonlinear elastic wave propagation in rock,” Nonlinear Processes in Geophysics 3, 89– ().

Google Scholar Crossref; B. Wave evolutions in a nonlinear equation with instability, dispersion, and dissipation are investigated both numerically and analytically. It is shown that equilibrium states or chaotic evolutions in the initial value problem can be described by interactions of localized soliton-like pulses arranged in a string.

About this book Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared indue to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves.

Dispersive waves also occur in optical fibre systems 29 where they are an important process in continuum generation 30 and have been used to study general nonlinear phenomena Nonlinear waves in one-dimensional dispersive systems. Oxford: Clarendon Press ; New York: Oxford University Press, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: P L Bhatnagar.DOI: / Corpus ID: Linear and Nonlinear Waves @article{WhithamLinearAN, title={Linear and Nonlinear Waves}, author={G.

Whitham and T.