𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Remarks on a variable-coefficient Sine-Gordon equation

✍ Scribed by A.N.W. Hone

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
98 KB
Volume
13
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

Communicated by P. D. Lax

Abstract--We show how a variable-coefficient Sine-Gordon equation may be reduced to standard form by a simple change of independent variables, and point out errors in the recent classification of similarity reductions by B. Tian. (~) 2000 Elsevier Science Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

Remarks on the two-dimensional sine-Gord
Remarks on the two-dimensional sine-Gordon equation and the PainlevΓ© tests
✍ Peter A. Clarkson πŸ“‚ Article πŸ“… 1985 πŸ› Springer 🌐 English βš– 140 KB

It is shown that the two-dimensional sine-Gordon equation does not satisfy the necessary conditions of the Painlev6 conjecture to be solvable by inverse scattering since it is reducible to an ordinary differential equation which has a movable logarithmic branch point and so is not of Painlev6 type.