Transformation of auto-Bäcklund type for hyperbolic generalization of Burgers equation
نویسنده
چکیده
We consider the hyperbolic generalization of Burgers equation with polynomial source term. The transformation of auto-Bäcklund type was found. Application of the results is shown in the examples, where the pair of two stationary solutions produces kink and bi-kink solutions.
منابع مشابه
Auto - Bäcklund transformation within the set of solutions of generalized Burgers equation
We consider the hyperbolic generalization of Burgers equation τ u tt − κu xx + A uu x + B u t + H u x = f (u). For some special combination of parameters we succeed to find the subset of exact solutions to this equation, where the auto-Bäcklund transformation u(x, t) = M (x, t)Exp(h(x, t)) + Q(x, t) Exp(h(x, t)) + 1 to classical Burgers equation is still valid. As an example the bi-soliton solu...
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تاریخ انتشار 2008