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Painleve Analysis and N-soliton Solutions for the Hirota-Maccari Equation
Xin Yu 1 #,Yi-Tian Gao 1 * #,Zhi-Yuan Sun 1,Xiang-Hua Meng 1,Ying Liu 1,Qian Feng 2,Ming-Zhen Wang 2
1.Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics
2.Beijing University of Aeronautics and Astronautics
*Correspondence author
#Submitted by
Subject:
Funding: 教育部博士点基金,国家自然科学基金,教育部其他基金,国家自然科学基金,教育部其他基金（No.20060006024，106033，60772023，60372095）
Opened online: 5 January 2009
Accepted by: none
Citation: Xin Yu,Yi-Tian Gao,Zhi-Yuan Sun.Painleve Analysis and N-soliton Solutions for the Hirota-Maccari Equation[OL]. [ 5 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27283
 
 
As an extended (2+1)-dimensional Hirota model in fluid dynamics, plasma physics and optical fiber communication, the Hirota-Maccari equation is investigated for its integrability in the Painleve sense. With symbolic computation, such equation is bilinearized by the dependent variable transformations obtained from the truncated Painleve expansion at the constant level term. Furthermore, the corresponding N-soliton solutions are given by the Hirota bilinear method. Those solutions are illustrated and to be shown after the collision having the wave velocity and amplitude of each soliton unchanged except its phase shift in the collision region. Finally, another class of solutions with singular points is presented.
Keywords:Hirota-Maccari equation; Painleve analysis; Bilinear equations; N-soliton solutions
 
 
 

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