Asymptotic methods in the theory of nonlinear wave propagation

✍ Scribed by Vladimir Varlamov

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 363 KB
• Volume: 47
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(01)00341-8

✦ Synopsis

Cauchy and initial-boundary value problems are considered for the dissipative semilinear evolution equations governing wave propagation. Their solutions are constructed in the form of a series in a small parameter present in the initial conditions. The long-time asymptotics is obtained which is essentially nonlinear.