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A New (2+1)-Dimensional Integrable Equation 被引量：1

A New (2+1)-Dimensional Integrable Equation
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摘要 在 2+1 尺寸的一个新非线性的部分微分方程(PDE ) 基于 Fourier 扩大借助于一个 asymptotically 准确的减小方法从 mKP 方程被获得并且时间空间重新可伸缩。以便表明新方程的 integrability 性质，相应的宽松的对被把减小技术用于 mKP 方程的宽松的对获得。 A new nonlinear partial differential equation （PDE） in 2＋1 dimensions is obtained from the mKP equation by means of an asymptotically exact reduction method based on Fourier expansion and spatio-temporal resealing. In order to demonstrate integrability property of the new equation, the corresponding Lax pair is obtained by applying the reduction technique to the Lax pair of the mKP equation.
作者 REN Bo LIN Ji
机构地区 Institute of Nonlinear Physics Abdus Salam International Centre for Theoretical Physics
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第1期13-16,共4页 理论物理通讯（英文版）
基金 supported by National Natural Science Foundation of China under Grant No. 10575087 the Natural Science Foundation of Zhejiang Province under Grant No. 102053
关键词 可积方程 非线性偏微分方程 磷酸二酯酶 LAX对 傅立叶 还原法 磷酸酶 时空 mKP equation, asymptotically exact reduction method, Lax pair
分类号 O175.1 [理学—基础数学] O175.29 [理学—基础数学]
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参考文献18

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同被引文献13

  • 1SUN Zhi-yuan, GAO Yi-tian, YU Xin, MENG Xiang-hua, IAU Ying. Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashx41i equation in fluid dynamics, plasma physics and electrodynamics[ J]. Wave Motion, 2009, 46(8) : 511-521.
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引证文献1

Communications in Theoretical Physics
2009年 第1期

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