Painleve Analysis and N-soliton Solutions for the Hirota-Maccari Equation
首发时间:2009-01-05
Abstract: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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Painleve Analysis and N-soliton Solutions for the Hirota-Maccari Equation
摘要: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.
关键词: Hirota-Maccari equation; Painleve analysis; Bilinear equations; N-soliton solutions
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Painleve Analysis and N-soliton Solutions for the Hirota-Maccari Equation
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