"Among nonlinear PDEs, dispersive and wave equations form an important class of equations. These include the nonlinear Schrodinger equation, the nonlinear wave equation, the Korteweg de Vries equation, and the wave maps equation. This book is an introduction to the methods and r…
"Among nonlinear PDEs, dispersive and wave equations form an important class of equations. These include the nonlinear Schrodinger equation, the nonlinear wave equation, the Korteweg de Vries equation, and the wave maps equation. This book is an introduction to the methods and r…
The work covers asymptotic methods for the derivation of canonical evolution equations, such as the Korteweg-deVries and nonlinear Schrdinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applications. These…
The work covers asymptotic methods for the derivation of canonical evolution equations, such as the Korteweg-deVries and nonlinear Schrdinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applications. These…
The Boussinesq equation is the first model of surface waves in shallow water that considers the nonlinearity and the dispersion and their interaction as a reason for wave stability known as the Boussinesq paradigm. This balance bears solitary waves that behave like quasi-particl…