A Jacobi elliptic function method for nonlinear arrays of vortices
Küçük Resim Yok
Tarih
2012
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Indian Assoc Cultivation Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Arrays of vortices are considered for two-dimensional inviscid flows when the functional relationship between the stream function and the vorticity is hyperbolic sine, exponential, sine, and power functions. The Jacobi elliptic function method with symbolic computation is extended to these nonlinear equations for constructing their doubly periodic wave solutions. The different Jacobi function expansions may lead to new Jacobi doubly periodic wave solutions, triangular periodic solutions and soliton solutions. In addition, as an illustrative sample, the properties for the Jacobi doubly periodic wave solutions of the nonlinear equations are shown with some figures.
Açıklama
Anahtar Kelimeler
Nonlinear arrays of vortices, Jacobi elliptic function method, Jacobi doubly periodic wave solution, Sinh-Poisson equation, Liouville equation, Sine-Poisson equation
Kaynak
Indian Journal of Physics
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
86
Sayı
12