BACKLUND AUTOTRANSFORMATION FOR THE EQUATION U(XT)=E(U)-E(-2U)

被引：0
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作者：
SAFIN, SS
SHARIPOV, RA
机构：
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 1993年 / 94卷 / 04期
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O4 [物理学];
学科分类号：
0702 ;
摘要：
The system of differential relations that arises in connection with the Bullough-Dodd-Zhiber-Shabat equation u(xt)=e(u)-e(-2u) is considered. The consistency of this system is established, and it is shown that the system realizes a Backlund autotransformation for the equation u(xt)=e(u)-e(-2u). The associated three-dimensional dynamical systems, which are compatible on a two-dimensional invariant submanifold, are investigated, and a construction of their general solution, which gives the explicit form of the three-parameter soliton for the equation u(xt)=e(u)-e(-2u), is proposed.
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页码：462 / 470
页数：9
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