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
M3 - מאמר
AN - SCOPUS:46149142625
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
SN - 0375-9601
IS - 3
ER -