Document Zbl 0581.35070

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Convergence of solutions of generalized Korteweg-de Vries-Burgers equations to those of first order equations. (English) Zbl 0581.35070

Commentat. Math. Univ. Carol. 26, 173-176 (1985).

We indicate the proof of the convergence of solutions of generalized Korteweg-de Vries-Burgers equations to the solutions of the limit first order equation when the parameters of the equations tend to zero.

MSC:

35Q99	Partial differential equations of mathematical physics and other areas of application
35L60	First-order nonlinear hyperbolic equations
35B40	Asymptotic behavior of solutions to PDEs
35B30	Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

Keywords:

propagation of nonlinear waves; convergence; Korteweg-de Vries-Burgers equations

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