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On the solutions of the time-delayed Burgers equation. (English) Zbl 1165.35304
Summary: The time-delayed Burgers equation is introduced and the improved tanh-function method is used to construct exact multiple-soliton and triangular periodic solutions. For an understanding of the nature of the exact solutions that contained the time-delay parameter, we calculated the numerical solutions of this equation by using the Adomian decomposition method and the variational iteration method (IVM) to the boundary value problem.
MSC:
35A25Other special methods (PDE)
35C05Solutions of PDE in closed form
35R10Partial functional-differential equations
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