
Preface  Preview Material  Table of Contents  Supplementary Material 
Mathematical Surveys and Monographs 2009; 256 pp; hardcover Volume: 156 ISBN10: 0821848976 ISBN13: 9780821848975 List Price: US$79 Member Price: US$63.20 Order Code: SURV/156 See also: Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics  Tian Ma and Shouhong Wang Introduction to PDEs and Waves for the Atmosphere and Ocean  Andrew Majda An Introduction to the Mathematical Theory of Waves  Roger Knobel  This book provides a selfcontained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations. Simplicity, concrete examples, and applications are emphasized throughout in order to make the material easily accessible. The list of classical nonlinear dispersive equations studied includes Kortewegde Vries, BenjaminOno, and Schrödinger equations. Many special Jacobian elliptic functions play a role in these examples. The author brings the reader to the forefront of knowledge about some aspects of the theory and motivates future developments in this fascinating and rapidly growing field. The book can be used as an instructive study guide as well as a reference by students and mature scientists interested in nonlinear wave phenomena. Readership Graduate students and research mathematicians interested in nonlinear wave phenomena. 


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