New Approaches to Nonlinear Waves
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The work New Approaches to Nonlinear Waves represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
New Approaches to Nonlinear Waves
Resource Information
The work New Approaches to Nonlinear Waves represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 New Approaches to Nonlinear Waves
 Statement of responsibility
 edited by Elena Tobisch
 Subject

 Dynamical systems
 Theoretical, Mathematical and Computational Physics
 Physics
 Statistical physics
 Dynamical systems
 Classical Continuum Physics
 Continuum physics
 Geophysics
 Continuum physics
 Statistical Physics, Dynamical Systems and Complexity
 Electronic resources
 Physics
 Statistical physics
 Physics
 Geophysics and Environmental Physics
 Geophysics
 Language
 eng
 Summary
 The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. Two chapters are devoted to wave systems possessing resonances with linear frequencies (Chapter 2) and with nonlinear frequencies (Chapter 3). In the next two chapters modulation instability in the KdVtype of equations is studied using rigorous mathematical methods (Chapter 4) and its possible connection to freak waves is investigated (Chapter 5). The book goes on to demonstrate how the choice of the Hamiltonian (Chapter 6) or the Lagrangian (Chapter 7) framework allows us to gain a deeper insight into the properties of a specific wave system. The final chapter discusses problems encountered when attempting to verify the theoretical predictions using numerical or laboratory experiments. All the chapters are illustrated by ample constructive examples demonstrating the applicability of these novel methods and approaches to a wide class of evolutionary dispersive PDEs, e.g. equations from BenjaminOro, Boussinesq, HasegawaMima,Â KdVtype,Â KleinGordon, NLStype, Serre,Â Shamel , Whitham and Zakharov. This makes the book interesting for professionals in the fields of nonlinear physics, applied mathematics and fluid mechanics as well as students who are studying these subjects. The book can also be used as a basis for a onesemester lecture course in applied mathematics or mathematical physics. Â Â
 Image bit depth
 0
 LC call number
 QC19.220.85
 Literary form
 non fiction
 Series statement
 Lecture Notes in Physics,
 Series volume
 908
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