Articoli correlati a Symmetry, Phase Modulation and Nonlinear Waves: Series...
Sinossi
Bridges studies the origin of Korteweg–de Vries equation using phase modulation and its implications in dynamical systems and nonlinear waves.
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Informazioni sull'autore
Thomas J. Bridges is currently Professor of Mathematics at the University of Surrey. He has been researching the theory of nonlinear waves for over 25 years. He is co-editor of the volume Lectures on the Theory of Water Waves (Cambridge, 2016) and he has over 140 published papers on such diverse topics as multisymplectic structures, Hamiltonian dynamics, ocean wave energy harvesting, geometric numerical integration, stability of nonlinear waves, the geometry of the Hopf bundle, theory of water waves and phase modulation.
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Symmetry, Phase Modulation and Nonlinear Waves (Cambridge Monographs on Applied and Computational Mathematics, Series Number 31)
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Cambridge University Press, 2017
ISBN 10: 1107188849
ISBN 13: 9781107188846
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Symmetry, Phase Modulation and Nonlinear Waves (Hardcover)
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Cambridge University Press, Cambridge, 2017
ISBN 10: 1107188849
ISBN 13: 9781107188846
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Hardcover. Condizione: new. Hardcover. Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. This book develops a natural approach to the problem based on phase modulation. It is both an elaboration of the use of phase modulation for the study of nonlinear waves and a compendium of background results in mathematics, such as Hamiltonian systems, symplectic geometry, conservation laws, Noether theory, Lagrangian field theory and analysis, all of which combine to generate the new theory of phase modulation. While the build-up of theory can be intensive, the resulting emergent partial differential equations are relatively simple. A key outcome of the theory is that the coefficients in the emergent modulation equations are universal and easy to calculate. This book gives several examples of the implications in the theory of fluid mechanics and points to a wide range of new applications. Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. In this book the author develops a natural approach to the problem based on phase modulation. He delivers models, mechanisms, generality, universality and ease of computation, as well as developing the necessary mathematical background. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781107188846
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Symmetry, Phase Modulation and Nonlinear Waves (Hardcover)
Editore:
Cambridge University Press, Cambridge, 2017
ISBN 10: 1107188849
ISBN 13: 9781107188846
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Hardcover. Condizione: new. Hardcover. Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. This book develops a natural approach to the problem based on phase modulation. It is both an elaboration of the use of phase modulation for the study of nonlinear waves and a compendium of background results in mathematics, such as Hamiltonian systems, symplectic geometry, conservation laws, Noether theory, Lagrangian field theory and analysis, all of which combine to generate the new theory of phase modulation. While the build-up of theory can be intensive, the resulting emergent partial differential equations are relatively simple. A key outcome of the theory is that the coefficients in the emergent modulation equations are universal and easy to calculate. This book gives several examples of the implications in the theory of fluid mechanics and points to a wide range of new applications. Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. In this book the author develops a natural approach to the problem based on phase modulation. He delivers models, mechanisms, generality, universality and ease of computation, as well as developing the necessary mathematical background. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9781107188846
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Symmetry, Phase Modulation and Nonlinear Waves (Hardcover)
Editore:
Cambridge University Press, Cambridge, 2017
ISBN 10: 1107188849
ISBN 13: 9781107188846
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Hardcover. Condizione: new. Hardcover. Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. This book develops a natural approach to the problem based on phase modulation. It is both an elaboration of the use of phase modulation for the study of nonlinear waves and a compendium of background results in mathematics, such as Hamiltonian systems, symplectic geometry, conservation laws, Noether theory, Lagrangian field theory and analysis, all of which combine to generate the new theory of phase modulation. While the build-up of theory can be intensive, the resulting emergent partial differential equations are relatively simple. A key outcome of the theory is that the coefficients in the emergent modulation equations are universal and easy to calculate. This book gives several examples of the implications in the theory of fluid mechanics and points to a wide range of new applications. Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. In this book the author develops a natural approach to the problem based on phase modulation. He delivers models, mechanisms, generality, universality and ease of computation, as well as developing the necessary mathematical background. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9781107188846
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