Fornberg-Whitham方程的孤子、峰子和周期尖波解
Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation
摘要：
本文利用动力系统的分支方法研究了Fornberg-Whitham方程的精确行波解。给出了孤子的隐式表达式。得到了峰子解和周期尖波解的显式表达式。进一步，我们证明了孤子解和周期尖波解的极限都是峰值。
英文摘要：
In this paper, we employ the bifurcation method of dynamical systems to investigate the exact travelling wave solutions for the Fornberg-Whitham equation. 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.
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