The author has recognised and tried to bridge the gap which exists between standard elementary courses on differential equations and advanced graduate courses on dynamical systems and chaotic motion.
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…
"Although nonlinear waves occur in nearly all branches of physics and engiƯ neering, there is an amazing degree of agreement about the fundamental conƯ cepts and the basic paradigms. The underlying unity of the theory for linearized waves is already well-established, with the im…
