New conservation laws of the Boussinesq and generalized Kadomtsev-Petviashvili equations via homotopy operator
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
According to the tools of linear algebra and calculus of variations, the conservation laws of Boussinesq and generalized Kadomtsev-Petviashvili (gKP) equations are investigated using multipliers and scaling methods. Using the Euler-Lagrange operator, the determining equations are calculated to find the multipliers of Boussinesq equation and the actual density of gKP equation. Then, the flux and density pairs of Boussinesq equation and the corresponding flux of gKP equation are obtained through 2-dimensional homotopy operator.
Açıklama
Anahtar Kelimeler
Boussinesq equation, gKP equation, Conversation laws, Multiplier method, Scaling method
Kaynak
Results in Physics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
47
