global-journal-of-science-frontier-research-f-mathematics-decision Global Journal of Science Frontier Research - F: Mathematics & Decision 0975-5896 2249-4626 Global Journals Publishing Group Incorporated 89222 Enhanced (G^/G)-Expansion Method to Find the Exact Complexiton Soliton Solutions of (3+1)-Dimensional Zakhrov-Kuznetsov Equation KhanKamruzzaman IslamRafiqul IslamEkramul BANGLADESH, Pabna University of Science and Technology 22 09 2013 13 F8 133 144

In this article, an enhanced (𝐺𝐺 ′ /𝐺𝐺)-expansion method has been applied to find the traveling wave solutions of the (3+1)-dimensional Zakhrov-Kuznetsov (ZK) equation. The efficiency of this method for finding these exact solutions has been demonstrated. As a result, a set of complexiton soliton solutions are derived, which are expressed by the combinations of rational, hyperbolic and trigonometric functions involving several parameters. It is shown that the method is effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics.

 enhanced ôˆºô€œ©ô€”¢ô€ˆ€ô€œ©ôˆ»-expansion method; zk equation; complexiton soliton solutions; traveling wave solutions. enhanced 􁈺􀜩􀔢􀈀􀜩􁈻-expansion method; zk equation; complexiton soliton solutions; traveling wave solutions. Full Text

In this article, an enhanced 􁈺􀡳􀔢 􀈀􀡳􁈻-expansion method has been applied to find the traveling wave solutions of the (3+1)-dimensional Zakhrov-Kuznetsov (ZK) equation. The efficiency of this method for finding these exact solutions has been demonstrated. As a result, a set of complexiton soliton solutions are derived, which are expressed by the combinations of rational, hyperbolic and trigonometric functions involving several parameters. It is shown that the method is effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics.