2015
On multisoliton solutions of the constant astigmatism equation
HLAVÁČ, AdamBasic information
Original name
On multisoliton solutions of the constant astigmatism equation
Authors
HLAVÁČ, Adam
Edition
Journal of Physics A: Mathematical and Theoretical, Bristol (England), IOP Publishing Ltd, 2015, 1751-8113
Other information
Language
English
Type of outcome
Article in a journal
Country of publisher
United Kingdom of Great Britain and Northern Ireland
Confidentiality degree
is not subject to a state or trade secret
Impact factor
Impact factor: 1.933
Marked to be transferred to RIV
No
Organization unit
Mathematical Institute in Opava
Keywords in English
constant astigmatism equation, sine-Gordon equation, surface of constant astigmatism, pseudospherical surface, Bäcklund transformation, orthogonal equiareal pattern, slip line field
Tags
International impact, Reviewed
Changed: 31/12/2024 01:15, RNDr. Adam Hlaváč, Ph.D.
Abstract
In the original language
We introduce an algebraic formula producing infinitely many exact solutions of the constant astigmatism equation $ z_{yy} + ({1}/{z})_{xx} + 2 = 0 $ from a given seed. A construction of corresponding surfaces of constant astigmatism is then a matter of routine. As a special case, we consider multisoliton solutions of the constant astigmatism equation defined as counterparts of famous multisoliton solutions of the sine-Gordon equation. A few particular examples are surveyed as well.