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

^*此作品的通讯作者

Shanghai Jiao Tong University

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	737-744
页数	8
期刊	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
卷	57
期	9-10
出版状态	已出版 - 9月 2002
已对外发布	是

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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",

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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

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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

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