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arxiv: 1704.04921 · v3 · pith:EA45WDTFnew · submitted 2017-04-17 · 🧮 math.AP

On the generalized nonlinear Camassa-Holm equation

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keywords camassa-holmequationgeneralizednonlinearadequatecoefficientsconsideredcontrol
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In this paper, a generalized nonlinear Camassa-Holm equation with time- and space-dependent coefficients is considered. We show that the control of the higher order dispersive term is possible by using an adequate weight function to define the energy. The existence and uniqueness of solutions are obtained via a Picard iterative method.

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