Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation
نویسندگان
چکیده
In this paper, we employ the bifurcation method of dynamical systems to investigate the exact travelling wave solutions for the Fornberg-Whitham equation ut − uxxt + ux+uux = uuxxx+3uxuxx. The implicit expression for solitons is given. The explicit expressions for peakons and periodic cusp wave solutions are also obtained. Further, we show that the limits of soliton solutions and periodic cusp wave solutions are peakons.
منابع مشابه
Periodic and Solitary Wave Solutions to the Fornberg-Whitham Equation
In this paper, new travelling wave solutions to the Fornberg-Whitham equation ut − uxxt + ux + uux = uuxxx + 3uxuxx are investigated. They are characterized by two parameters. The expresssions of the periodic and solitary wave solutions are obtained.
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