New approaches to nonlinear waves. ([2015])

• Record Type: Book
• Further Information: Note: Elena Tobisch, editor.
• Editors: Tobisch, Elena
• Contents: Introduction (E. Tobisch).- Brief historical overview.- Main notions.- Resonant interactions.- Modulation instability.- Frameworks.- Reality check.- References.- The effective equation method (Sergei Kuksin and Alberto Maiocchi).- Introduction.- How to construct the effective equation.- Structure of resonances.- CHM: resonance clustering.- Concluding remarks.- References.- On the discovery of the steady-state resonant water waves (Shijun Liao, Dali Xu and Zeng Liu).- Introduction.- Basic ideas of homotopy analysis method.- Steady-state resonant waves in constant-depth water.- Experimental observation.- Concluding remarks.- References.- Modulational instability in equations of KdV type (Jared C. Bronski, Vera Mikyoung Hur and Mathew A. Johnson).- Introduction.- Periodic traveling waves of generalized KdV equations.- Formal asymptotics and Whitham's modulation theory.- Rigorous theory of modulational instability.- Applications.- Concluding remarks.- References.- Modulational instability and rogue waves in shallow water models (R. Grimshaw, K. W. Chow and H. N. Chan).- Introduction.- Korteweg-de Vries equations.- Boussinesq model.- Hirota-Satsuma model.- Discussion.- References.- Hamiltonian framework for short optical pulses (Shalva Amiranashvili).- Introduction.- Poisson brackets.- Pulses in optical fibers.- Hamiltonian description of pulses.- Concluding remarks.- References.- Modeling water waves beyond perturbations (Didier Clamond and Denys Dutykh).- Introduction.- Preliminaries.- Variational formulations.- Examples.- Discussion.- References.- Quantitative Analysis of Nonlinear Water-Waves: a Perspective of an Experimentalist (Lev Shemer).- Introduction.- The experimental facilities.- The Nonlinear Schrödinger Equation.- The Modified Nonlinear Schrödinger (Dysthe) Equation.- The Spatial Zakharov Equation.- Statistics of nonlinear unidirectional water waves.- Discussion and Conclusions.- References.
• Publisher Details: Cham : Springer
• Publication Date: 2015
• Copyright Date: 2016
• Extent: 1 online resource (xv, 298 pages), illustrations (some color)
• Subjects: 530.12/4; Physics; Nonlinear waves; Nonlinear waves; Science -- Mechanics -- General; Science -- Physics; Science -- Geophysics; Science -- Mathematical Physics; Classical mechanics; Statistical physics; Geophysics; Statistical physics; Mathematical physics; Electronic books
• Languages: English
• ISBNs: 9783319206905; 3319206907
• Related ISBNs: 9783319206899
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed August 27, 2015).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.