Nonlinear Waves and Solitons on Contours and Closed Surfaces

This book is intended for graduate students and researchers in mathematics, physics and engineering. This new edition has been thoroughly revised, expanded and updated.

Author: Andrei Ludu

Publisher: Springer Science & Business Media

ISBN: 9783642228957

Category: Science

Page: 490

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This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering. This new edition has been thoroughly revised, expanded and updated.
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Nonlinear Waves and Solitons on Contours and Closed Surfaces

These solitary waves are stable with respect to perturbations, but they do not survive collisions with each other. A possibility to enhance the soliton character of such nonlinear waves is to use curved surfaces, and take profit both ...

Author: Andrei Ludu

Publisher: Springer Nature

ISBN: 9783031146411

Category: Science

Page: 583

View: 192

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This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics. The book has a Foreword by Jerry L. Bona and Hongqiu Chen. The book is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering.
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Radio Science

Contours indicate intensity levels . have not been deployed before , has been used to Boardman , A. D. , and T. Twardowski ... The solitons cou- surface - guided nonlinear TM waves : A finite element appled by polarization , or through ...

Author:

Publisher:

ISBN: UIUC:30112106706283

Category: Radio meteorology

Page:

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Mathematical Reviews

In certain cases , nonlinear coupling produces a particularly high and steep wave hump . Interactions of equal amplitude solitons may lead to water surface elevations up to four times as high as the amplitude of the counterparts and the ...

Author:

Publisher:

ISBN: UOM:39015076649907

Category: Mathematics

Page: 756

View: 315

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COMPUTATIONS OF NONLINEAR GRAVITY WAVES BY A DESINGULARIZED BOUNDARY INTEGRAL METHOD GRAVITY WAVES BOUNDARY INTEGRAL

41 3.15 Effect of computational domain size on wave elevation along x - axis 0. ( 0 = 0.05 , Fn = 1 ) . = 42 4.1 Problem definition for solitons in shallow water . ... 45 . 4.2 Waves due to free surface pressure ( Pm = 0.02 , Fn = 1.0 ...

Author: YUSONG CAO

Publisher:

ISBN: UOM:39015021908382

Category:

Page: 184

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well-conditioned to allow fast iterative solutions. Accurate solutions can be obtained for a large range of desingularization distances on the order of the mesh size.
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Soviet Journal of Nuclear Physics

Contours of constant cross section in the plane Pulk , Palk ) for the yield of nucleons that have undergone a ... We have not solved many important problems like the emergence of a nonlinear wave at the surface of a nucleus ( a problem ...

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Publisher:

ISBN: UOM:39015019021636

Category: Nuclear physics

Page:

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Physics Briefs

A generalization of the well known Zakharov system of ion - acoustic waves ( Langmuir solitons ) has been obtained while studying the coupling between shear - horizontal surface waves and Rayleigh surface waves propagating on top of a ...

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Publisher:

ISBN: UOM:39015027456725

Category: Physics

Page: 1244

View: 480

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Izvestiya

After about 1 h , an internal wave is formed , which propagates from the impact point along the Earth's surface in the lower atmosphere ... Its front and the flow pattern are clearly seen in the figures of relative - density contours .

Author:

Publisher:

ISBN: UOM:39015058906408

Category: Atmosphere

Page: 420

View: 823

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