Published January 1976 | Version v1
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Cole's ansatz and extensions of Burgers' equation

Creators

Description

A sequence of nonlinear partial differential equations is constructed. It contains all equation whose solutions can be obtained from applying the Cole-Hopf transformation to linear partial differential equations. An exemple is usub(t) = (u3)sub(x) + 3/2(u2)sub(xx) + usub(xxx). (orig.)

Availability note (English)

MF available from INIS under the Report Number.

Abstract (German)

Eine Folge nichtlinearer partieller Differentialgleichungen wurde konstruiert. Sie enthaelt alle Gleichungen, deren Loesungen durch Anwendung der Cole-Hopf-Transformation auf lineare partielle Differentialgleichungen erhalten werden koennen. Ein Beispiel ist usub(t) = (u3)sub(x) + 3/2(u2)sub(xx) + usub(xxx). (orig./WB)

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Additional details

Publishing Information

Imprint Pagination
5 p.
Report number
IPP--6/142

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
7261909
Subject category
S70: PLASMA PHYSICS AND FUSION TECHNOLOGY; S99: GENERAL AND MISCELLANEOUS;
Descriptors DEI
COLLISIONLESS PLASMA; DISPERSION RELATIONS; ENERGY LOSSES; MATHEMATICS; NONLINEAR PROBLEMS; PLASMA

Optional Information

Notes
2 refs.