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SIMILARITY REDUCTIONS FOR 2+1-DIMENSIONAL VARIABLE COEFFICIENT GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION 被引量:1

SIMILARITY REDUCTIONS FOR 2+1-DIMENSIONAL VARIABLE COEFFICIENT GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION
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摘要 With the aid of MATHEMATICA, the direct reduction method,vas extended and applied in 2 + 1-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation( VCGRPE). As a result, several kinds of similarity reductions for VCGKPE are obtained which contain Painleve I, Painleve II and Painleve ni reductions. With the aid of MATHEMATICA, the direct reduction method,vas extended and applied in 2 + 1-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation( VCGRPE). As a result, several kinds of similarity reductions for VCGKPE are obtained which contain Painleve I, Painleve II and Painleve ni reductions.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第6期645-650,共6页 应用数学和力学(英文版)
基金 theNationalNaturalScienceFoundationofChina ( 195 72 0 2 2 ) theNationalClimbingProjectFoundationofChina
关键词 variable coefficient generalized Kadomtsev- Petviashvili equation direct reduction method similarity reduction variable coefficient generalized Kadomtsev- Petviashvili equation direct reduction method similarity reduction
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