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On a coupled system of a Ginzburg–Landau equation with a quasilinear conservation law

On a coupled system of a Ginzburg–Landau equation with a quasilinear conservation law

We study a coupled system of a complex Ginzburg–Landau equation with a quasilinear conservation law [Formula: see text] which can describe the interaction between a laser beam and a fluid flow (see [I.-S. Aranson and L. Kramer, The world of the complex Ginzburg–Landau equation, Rev. Mod. Phys. 74 (2002) 99–143]). …