Solitary and traveling wave solutions for the Davey-Stewartson equation using the Jacobi elliptic function expansion method

被引:2
作者
Petrovic, Nikola Zoran [1 ]
机构
[1] Univ Belgrade, Inst Phys, Pregrevica 118, Belgrade 11080, Serbia
关键词
Davey-Stewartson equation; Jacobi elliptic function; Expansion method; INVERSE SCATTERING TRANSFORM;
D O I
10.1007/s11082-020-02385-7
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In our paper we modify the Jacobi elliptic function expansion method to obtain solutions to the Davey-Stewartson system of equations. Two categories of nonsingular solutions are obtained for both traveling and solitary waves and both with and without chirp. In both cases there is an arbitrary term in the mean flow field, meaning one can obtain solutions for arbitrary forms of the mean flow field.
引用
收藏
页数:10
相关论文
共 32 条
[1]  
Anker D, 1978, P ROY SOC A, V360, P1703
[2]   Analytical light bullet solutions to the generalized (3+1)-dimensional nonlinear schrodinger equation [J].
Belic, Milivoj ;
Petrovic, Nikola ;
Zhong, Wei-Ping ;
Xie, Rui-Hua ;
Chen, Goong .
PHYSICAL REVIEW LETTERS, 2008, 101 (12)
[3]   3-DIMENSIONAL PACKETS OF SURFACE-WAVES [J].
DAVEY, A ;
STEWARTSON, K .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1974, 338 (1613) :101-110
[4]   Darboux and Backlund transformations for the nonisospectral KP equation [J].
Deng, Shu-Fang ;
Qin, Zhen-Yun .
PHYSICS LETTERS A, 2006, 357 (06) :467-474
[5]   The G′/G method and 1-soliton solution of the Davey-Stewartson equation [J].
Ebadi, Ghodrat ;
Biswas, Anjan .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) :694-698
[6]   Dispersion management for atomic matter waves [J].
Eiermann, B ;
Treutlein, P ;
Anker, T ;
Albiez, M ;
Taglieber, M ;
Marzlin, KP ;
Oberthaler, MK .
PHYSICAL REVIEW LETTERS, 2003, 91 (06)
[7]   Diffraction management [J].
Eisenberg, HS ;
Silberberg, Y ;
Morandotti, R ;
Aitchison, JS .
PHYSICAL REVIEW LETTERS, 2000, 85 (09) :1863-1866
[8]  
Hieraninta J., 1997, Introduction to the Hirota Bilinear Method, Vvol 95
[9]   MULTIDROMION SOLUTIONS TO THE DAVEY-STEWARTSON EQUATION [J].
HIETARINTA, J ;
HIROTA, R .
PHYSICS LETTERS A, 1990, 145 (05) :237-244
[10]   Davey-Stewartson description of two-dimensional nonlinear excitations in Bose-Einstein condensates [J].
Huang, GX ;
Deng, L ;
Hang, C .
PHYSICAL REVIEW E, 2005, 72 (03)