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推广的Benjamin-Bona-Mahony方程解的衰减估计

The Decaying Estimate of Solutions for the Generalized Benjamin-Bona-Mahony Equation
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摘要 研究了推广的Benjamin-Bona-Mahony方程解的初值问题,得到了关于解的衰减估计. This paper studies the initial - boundary problem for the generalized Benjamin - Bona - Mahony equation and obtains the decaying estimate of the solutions.
出处 《云南民族大学学报(自然科学版)》 CAS 2009年第3期211-212,共2页 Journal of Yunnan Minzu University:Natural Sciences Edition
关键词 推广的Benjamin—Bona—Mahony方程 衰减估计 generalized Benjamin - Bona - Mahony equation decaying estimate of solutions
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参考文献4

  • 1周毓麟 郭柏灵.高阶广义KDV型方程组的初值问题和周期初值问题[J].数学学报,1984,27(2):154-176.
  • 2GUO B L,JIANG L M.The Initial Value Problem For One Class of KDV Equations with Singular Nonhomogeneous Terms[J].Math Acta Scientia,1989,9(4):379-390.
  • 3BENJAMIN T B,BONA J L,MAHONY J J.Model Equations for Long Waves in Nonlinear Dispersive Systems[J].Philosophical.Transactions for the Royal Society of London,1972,272:47-78.
  • 4ZHANG H J,XUAN B J.Existence and Convergence of Solutions for the Generalized BBM-Burgers Equations with Dissipative Term[J].Nonlinear Analysis,Theory,Methods and Applications,1997,28(11):1835-1849.

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