Solitary wave solutions of the Vakhnenko–Parkes equation
نویسندگان
چکیده
Department of Physics, Chemistry and Mathematics Alabama Agricultural and Mechanical University Normal AL-35762, USA Department of Physics, Badji Mokhtar University 2300 Anaba, Algeria Department of Mathematics, Qaid-i-Azam University Islamabad-44000, Pakistan Department of Physics, King Saud University P.O. Box 2455, Riyadh-11451, Saudi Arabia Department of Mathematical Sciences, Delaware State University Dover, DE 19901-2277, USA [email protected]
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The Connection of the Degasperis–Procesi Equation with the Vakhnenko Equation
Travelling-wave solutions of the Degasperis–Procesi equation (DPE) are investigated. The solutions are characterized by two parameters. Hump-like, loop-like and coshoidal periodicwave solutions are found; hump-like, loop-like and peakon solitary-wave solutions are obtained as well. Hone and Wang showed a connection between the DPE and the Vakhnenko equation (VE). Comparing the solutions of the ...
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