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An extended functional transformation method and its application in some evolution equations 被引量:2

An extended functional transformation method and its application in some evolution equations
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摘要 In this paper, an extended functional transformation is given to solve some nonlinear evolution equations. This function, in fact, is a solution of the famous KdV equation, so this transformation gives a transformation between KdV equation and other soliton equations. Then many new exact solutions can be given by virtue of the solutions of KdV equation. In this paper, an extended functional transformation is given to solve some nonlinear evolution equations. This function, in fact, is a solution of the famous KdV equation, so this transformation gives a transformation between KdV equation and other soliton equations. Then many new exact solutions can be given by virtue of the solutions of KdV equation.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2005年第9期1687-1690,共4页 中国物理B(英文版)
关键词 extended functional transformation exact solution KdV equation extended functional transformation, exact solution, KdV equation
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  • 1Ablowitz M J and Clarkson P A 1991 Soliton, Nonlinear Evolution Equations and Inverse Scatting (New York: Cambridge University Press).
  • 2Matveev V B and Salle M A 1991 Darboux Transformation and Solitons (Berlin: Springer).
  • 3Gu C H, Hu H S and Zhou Z X 1999 Darboux Transformations in Soliton Theory and Its Geometric Applications (Shanghai: Shanghai Sci Tech Publishing House) (in Chinese).
  • 4Wu Y T and Geng X G 1998 J. Phys. A: Math. Gen. 33 L677.
  • 5Hirota R and Satsuma J 1981 J. Phys. Lett. A 85 407.
  • 6Yoshimasa Matsuno 1984 Bilinear Transformation Method (New York: Academic Press, INC).
  • 7Khater A H and El-kalaawy O H 1997 Chaos, Solitons and Fractals 8 1901.
  • 8Fan E G 2004 Integrable System and Computer Algebra(Beijing: Science Press) (in Chinese).
  • 9Liu S D, Fu Z T, Liu S K and Zhao Q 2002 Acta Phys.Sin. 51 719 (in Chinese).
  • 10Feng X 2000 Int. J. Theor. Phys. 39 207.

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