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Self-similar solutions to a generalized Davey–Stewartson system

✍ Scribed by Xiangqing Zhao

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
382 KB
Volume
50
Category
Article
ISSN
0895-7177

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✦ Synopsis

In this paper we study the global solvability and existence of self-similar solutions to a generalized Davey-Stewartson system. We first use the Banach fixed point theorem to establish a general global existence theorem. By using this general result to a class of special initial data we obtain the existence of global self-similar solutions.

📜 SIMILAR VOLUMES

Classification of Self Similar Solutions
Classification of Self Similar Solutions to a Generalized Burgers Equation
✍ E. Soewono; L. Debnath 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 315 KB

A complete classification for the self-similar solutions to the generalized Burgers equation \[ u_{t}+u^{\beta} u_{x}=t^{N} u_{x x} \] of the form \(u(t, \eta)=A_{1} t^{-(1-N) / 2 \beta} F(\eta)\), where \(\eta=A_{2} x t^{-(1+N / 2}, A_{2}=1 / \sqrt{2 A}\), and \(A_{1}=\left(2 A_{2}\right)^{-1 / 6