Özet
We consider a class of generalized Kuznetsov-Zabolotskaya-Khokhlov (gKZK) equations and determine its equivalence group, which is then used to give a complete symmetry classification of this class. The infinite-dimensional symmetry is used to reduce such equations to (1. +. 1)-dimensional PDEs. Special attention is paid to group-theoretical properties of a class of generalized dispersionless KP (gdKP) or Zabolotskaya-Khokhlov equations as a subclass of gKZK equations. The conditions are determined under which a gdKP equation is invariant under a Lie algebra containing the Virasoro algebra as a subalgebra. This occurs if and only if this equation is completely integrable. A similar connection is shown to hold for generalized KP equations.
Orijinal dil | İngilizce |
---|---|
Sayfa (başlangıç-bitiş) | 623-638 |
Sayfa sayısı | 16 |
Dergi | Journal of Mathematical Analysis and Applications |
Hacim | 423 |
Basın numarası | 1 |
DOI'lar | |
Yayın durumu | Yayınlandı - 2015 |
Bibliyografik not
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