Breather Lattice Solutions to Negative mKdV Equation

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Communications in Theoretical Physics ›› 2009, Vol. 52 ›› Issue (01) : 23-29.

ZHAO Xia,¹ FU Zun-Tao,² MAO Jiang-Yu,³ and LIU Shi-Kuo²

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Abstract

In this paper, dependent and independent variable transformations are introduced to solve the negative mKdV equation systematically by using the knowledge of elliptic equation and Jacobian elliptic functions. It is shown that different kinds of solutions can be obtained to the negative mKdV equation, including breather lattice solution and periodic wave solution.

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Jacobian elliptic function / the negative mKdV equation / periodic wave solution / breather lattice solution

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ZHAO Xia, FU Zun-Tao, MAO Jiang-Yu, and LIU Shi-Kuo. Breather Lattice Solutions to Negative mKdV Equation[J]. Communications in Theoretical Physics, 2009, 52(01): 23-29