𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalized homoclinic solutions for the Swift–Hohenberg equation

✍ Scribed by Shengfu Deng; Xiaopei Li

Book ID
113721768
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
191 KB
Volume
390
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Homoclinic Solutions for Swift–Hohenberg
Homoclinic Solutions for Swift–Hohenberg and Suspension Bridge Type Equations
✍ Didier Smets; Jan Bouwe van den Berg 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 194 KB

We establish the existence of homoclinic solutions for a class of fourthorder equations which includes the Swift-Hohenberg model and the suspension bridge equation. In the first case, the nonlinearity has three zeros, corresponding to a double-well potential, while in the second case the nonlinearit

Exact solutions of the Swift–Hohenberg e
Exact solutions of the Swift–Hohenberg equation with dispersion
✍ Nikolai A. Kudryashov; Dmitry I. Sinelshchikov 📂 Article 📅 2012 🏛 Elsevier Science 🌐 English ⚖ 302 KB

The Swift-Hohenberg equation with dispersion is considered. Traveling wave solutions of the Swift-Hohenberg equation with dispersion are presented. The classification of these solutions is given. It is shown that the Swift-Hohenberg equation without dispersion has only stationary meromorphic solutio

Abundance of stable stationary localized
Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation
✍ L.A. Belyakov; L.Yu. Glebsky; L.M. Lerman 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 999 KB

A number of stationary localized solutions to the well-known pattern-forming gradient system mentioned in the title have been found. Their search is based on the theory of homoclinic orbits to a saddle-focus equilibrium and some results of linear symmetric differential operators with decaying coeffi