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Peakon, loop and solitary travelling wave solutions for the general modified CH-DP equation

Peakon, loop and solitary travelling wave solutions for the general modified CH-DP equation,10.1016/j.amc.2010.11.036,Applied Mathematics and Computat

Peakon, loop and solitary travelling wave solutions for the general modified CH-DP equation  
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Travelling wave solutions for the general modified CH–DP equation ut−uxxt+αu2ux−βuxuxx=uuxxx are developed. By using the dynamical system method, a peakon and a dark soliton are found to coexist for the same wave speed. Exact explicit blow-up solutions are given. By using numerical simulation, a loop solution for a special case is discussed.
Journal: Applied Mathematics and Computation - AMC , vol. 217, no. 9, pp. 4812-4818, 2011
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