TY - JOUR

T1 - The construction of special solutions to partial differential equations

AU - Olver, Peter J.

AU - Rosenau, Philip

N1 - Funding Information:
1 Supported in part by NSF Grant MCS 81-00786.

PY - 1986/2/10

Y1 - 1986/2/10

N2 - Almost all the methods devised to date for constructing particular solutions to a partial differential equation can be viewed as manifestations of a single unifying method characterized by the appending of suitable "side conditions" to the equation, and solving the resulting overdetermined system of partial differential equations. These side conditions can also be regarded as specifying the invariance of the particular solutions under some generalized group of transformations.

AB - Almost all the methods devised to date for constructing particular solutions to a partial differential equation can be viewed as manifestations of a single unifying method characterized by the appending of suitable "side conditions" to the equation, and solving the resulting overdetermined system of partial differential equations. These side conditions can also be regarded as specifying the invariance of the particular solutions under some generalized group of transformations.

UR - http://www.scopus.com/inward/record.url?scp=46149142625&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(86)90534-7

DO - 10.1016/0375-9601(86)90534-7

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AN - SCOPUS:46149142625

SN - 0375-9601

VL - 114

SP - 107

EP - 112

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3

ER -