Second order Lax pairs of nonlinear partial differential equations with Schwarzian forms

Sen Yue Lou; Xiao Yan Tang; Qing Ping Liu; T. Fukuyama

Second order Lax pairs of nonlinear partial differential equations with Schwarzian forms

Sen Yue Lou^*
, Xiao Yan Tang
, Qing Ping Liu
, T. Fukuyama

^*Corresponding author for this work

Shanghai Jiao Tong University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this paper we study the possible second order Lax operators for all possible (1+1)-dimensional models with Schwarzian forms. If the Schwarzian form of a (1+1)-dimensional model can be expressed by two known conformal invariants (invariant under the Möbius transformation), the model has a second order lax pair. The explicit Lax pairs for some (1+1)-dimensional are given. The conclusions are also extended to some (2+1)-dimensional equations.

Original language	English
Pages (from-to)	737-744
Number of pages	8
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	57
Issue number	9-10
State	Published - Sep 2002
Externally published	Yes

Keywords

Conformal Invariants
Lax Pairs
Möbius Transformation
Schwarzian Forms

Cite this

@article{00a494a806214a1c8097bcdcc07bd775,

title = "Second order Lax pairs of nonlinear partial differential equations with Schwarzian forms",

abstract = "In this paper we study the possible second order Lax operators for all possible (1+1)-dimensional models with Schwarzian forms. If the Schwarzian form of a (1+1)-dimensional model can be expressed by two known conformal invariants (invariant under the M{\"o}bius transformation), the model has a second order lax pair. The explicit Lax pairs for some (1+1)-dimensional are given. The conclusions are also extended to some (2+1)-dimensional equations.",

keywords = "Conformal Invariants, Lax Pairs, M{\"o}bius Transformation, Schwarzian Forms",

author = "Lou, \{Sen Yue\} and Tang, \{Xiao Yan\} and Liu, \{Qing Ping\} and T. Fukuyama",

year = "2002",

month = sep,

language = "英语",

volume = "57",

pages = "737--744",

journal = "Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences",

issn = "0932-0784",

publisher = "Walter de Gruyter GmbH",

number = "9-10",

}

TY - JOUR

T1 - Second order Lax pairs of nonlinear partial differential equations with Schwarzian forms

AU - Lou, Sen Yue

AU - Tang, Xiao Yan

AU - Liu, Qing Ping

AU - Fukuyama, T.

PY - 2002/9

Y1 - 2002/9

N2 - In this paper we study the possible second order Lax operators for all possible (1+1)-dimensional models with Schwarzian forms. If the Schwarzian form of a (1+1)-dimensional model can be expressed by two known conformal invariants (invariant under the Möbius transformation), the model has a second order lax pair. The explicit Lax pairs for some (1+1)-dimensional are given. The conclusions are also extended to some (2+1)-dimensional equations.

AB - In this paper we study the possible second order Lax operators for all possible (1+1)-dimensional models with Schwarzian forms. If the Schwarzian form of a (1+1)-dimensional model can be expressed by two known conformal invariants (invariant under the Möbius transformation), the model has a second order lax pair. The explicit Lax pairs for some (1+1)-dimensional are given. The conclusions are also extended to some (2+1)-dimensional equations.

KW - Conformal Invariants

KW - Lax Pairs

KW - Möbius Transformation

KW - Schwarzian Forms

UR - https://www.scopus.com/pages/publications/0036754595

M3 - 文章

AN - SCOPUS:0036754595

SN - 0932-0784

VL - 57

SP - 737

EP - 744

JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

IS - 9-10

ER -

Second order Lax pairs of nonlinear partial differential equations with Schwarzian forms

Abstract

Keywords

Other files and links

Fingerprint

Cite this