On Involutive Systems of Partial Differential Equations

Standard

On Involutive Systems of Partial Differential Equations. / Talyshev, A. A.

Nonlinear Physical Science. ed. / Albert C. J. Luo; Rafail K. Gazizov. 1. ed. Springer Science and Business Media Deutschland GmbH, 2021. p. 205-233 (Nonlinear Physical Science).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Talyshev, AA 2021, On Involutive Systems of Partial Differential Equations. in ACJ Luo & RK Gazizov (eds), Nonlinear Physical Science. 1 edn, Nonlinear Physical Science, Springer Science and Business Media Deutschland GmbH, pp. 205-233. https://doi.org/10.1007/978-981-16-4683-6_7

APA

Talyshev, A. A. (2021). On Involutive Systems of Partial Differential Equations. In A. C. J. Luo, & R. K. Gazizov (Eds.), Nonlinear Physical Science (1 ed., pp. 205-233). (Nonlinear Physical Science). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-16-4683-6_7

Vancouver

Talyshev AA. On Involutive Systems of Partial Differential Equations. In Luo ACJ, Gazizov RK, editors, Nonlinear Physical Science. 1 ed. Springer Science and Business Media Deutschland GmbH. 2021. p. 205-233. (Nonlinear Physical Science). doi: 10.1007/978-981-16-4683-6_7

Author

Talyshev, A. A. / On Involutive Systems of Partial Differential Equations. Nonlinear Physical Science. editor / Albert C. J. Luo ; Rafail K. Gazizov. 1. ed. Springer Science and Business Media Deutschland GmbH, 2021. pp. 205-233 (Nonlinear Physical Science).

BibTeX

@inbook{6129a9727114434d9f084921d2a2b481,

title = "On Involutive Systems of Partial Differential Equations",

abstract = "This chapter presents a criterion of involutive systems of partial differential equations. The criterion is based on the concept of formal extended Pfaffian systems with fixed independent variables which introduced in this chapter. The system is involutive if and only if the formal extended of the system coincides with the usual extended. This criterion was proved that the order of nontrivial contact transformations allowed by the involutive system of partial differential equations cannot exceed the order of this system. This criterion can also be useful for constructing computer algorithms for reducing a system of differential equations to an involutive form.",

author = "Talyshev, {A. A.}",

note = "Talyshev, A. A. On Involutive Systems of Partial Differential Equations / A. A. Talyshev // Nonlinear Physical Science. – 2021. – P. 205-233. Publisher Copyright: {\textcopyright} 2021, Higher Education Press.",

year = "2021",

doi = "10.1007/978-981-16-4683-6_7",

language = "English",

isbn = "978-981-16-4682-9",

series = "Nonlinear Physical Science",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "205--233",

editor = "Luo, {Albert C. J.} and Gazizov, {Rafail K.}",

booktitle = "Nonlinear Physical Science",

address = "Germany",

edition = "1",

}

RIS

TY - CHAP

T1 - On Involutive Systems of Partial Differential Equations

AU - Talyshev, A. A.

PY - 2021

Y1 - 2021

N2 - This chapter presents a criterion of involutive systems of partial differential equations. The criterion is based on the concept of formal extended Pfaffian systems with fixed independent variables which introduced in this chapter. The system is involutive if and only if the formal extended of the system coincides with the usual extended. This criterion was proved that the order of nontrivial contact transformations allowed by the involutive system of partial differential equations cannot exceed the order of this system. This criterion can also be useful for constructing computer algorithms for reducing a system of differential equations to an involutive form.

AB - This chapter presents a criterion of involutive systems of partial differential equations. The criterion is based on the concept of formal extended Pfaffian systems with fixed independent variables which introduced in this chapter. The system is involutive if and only if the formal extended of the system coincides with the usual extended. This criterion was proved that the order of nontrivial contact transformations allowed by the involutive system of partial differential equations cannot exceed the order of this system. This criterion can also be useful for constructing computer algorithms for reducing a system of differential equations to an involutive form.

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UR - https://www.elibrary.ru/item.asp?id=47545769

UR - https://www.mendeley.com/catalogue/ff21e553-af8d-3b6b-b944-5175d7781ae2/

U2 - 10.1007/978-981-16-4683-6_7

DO - 10.1007/978-981-16-4683-6_7

M3 - Chapter

AN - SCOPUS:85121687959

SN - 978-981-16-4682-9

SN - 978-981-16-4685-0

T3 - Nonlinear Physical Science

SP - 205

EP - 233

BT - Nonlinear Physical Science

A2 - Luo, Albert C. J.

A2 - Gazizov, Rafail K.

PB - Springer Science and Business Media Deutschland GmbH

ER -

ID: 35170664