Abstract
Some results on two kinds of different geometric objects which are both related to Sinh-Gordon equation are presented. The first one is Su chain which is a special Laplace sequence of period 4 in projective space P{sub 3}, another one is the timelike surfaces of constant mean curvature (TSCMC) in Minkowski space R{sup 2+1}. By using the Lax pairs and Darboux transformations (DT) to sinh-Gordon equations with certain additional technique, the general methods to construct Su chain and TSCMC are obtained with explicit expressions. The algorithm is pure algebraic and can be continued successively, hence an infinite sequence of Su chains and TSCMC can be obtained. Some interesting results are obtained, such as the existence of the sequence of Su chains of period 2n (n>1). (author). 12 refs.
Hesheng, Hu
[1]
- Fudan Univ., Shanghai, SH (China). Dept. of Mathematics
Citation Formats
Hesheng, Hu.
On the geometry of Sinh-Gordon equation.
IAEA: N. p.,
1994.
Web.
Hesheng, Hu.
On the geometry of Sinh-Gordon equation.
IAEA.
Hesheng, Hu.
1994.
"On the geometry of Sinh-Gordon equation."
IAEA.
@misc{etde_101419,
title = {On the geometry of Sinh-Gordon equation}
author = {Hesheng, Hu}
abstractNote = {Some results on two kinds of different geometric objects which are both related to Sinh-Gordon equation are presented. The first one is Su chain which is a special Laplace sequence of period 4 in projective space P{sub 3}, another one is the timelike surfaces of constant mean curvature (TSCMC) in Minkowski space R{sup 2+1}. By using the Lax pairs and Darboux transformations (DT) to sinh-Gordon equations with certain additional technique, the general methods to construct Su chain and TSCMC are obtained with explicit expressions. The algorithm is pure algebraic and can be continued successively, hence an infinite sequence of Su chains and TSCMC can be obtained. Some interesting results are obtained, such as the existence of the sequence of Su chains of period 2n (n>1). (author). 12 refs.}
place = {IAEA}
year = {1994}
month = {Dec}
}
title = {On the geometry of Sinh-Gordon equation}
author = {Hesheng, Hu}
abstractNote = {Some results on two kinds of different geometric objects which are both related to Sinh-Gordon equation are presented. The first one is Su chain which is a special Laplace sequence of period 4 in projective space P{sub 3}, another one is the timelike surfaces of constant mean curvature (TSCMC) in Minkowski space R{sup 2+1}. By using the Lax pairs and Darboux transformations (DT) to sinh-Gordon equations with certain additional technique, the general methods to construct Su chain and TSCMC are obtained with explicit expressions. The algorithm is pure algebraic and can be continued successively, hence an infinite sequence of Su chains and TSCMC can be obtained. Some interesting results are obtained, such as the existence of the sequence of Su chains of period 2n (n>1). (author). 12 refs.}
place = {IAEA}
year = {1994}
month = {Dec}
}