A second Wronskian formulation of the Boussinesq equation |
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| Authors: | Wen-Xiu Ma Chun-Xia Li Jingsong He |
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| Institution: | aDepartment of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA;bSchool of Mathematical Sciences, Capital Normal University, Beijing 100048, PR China;cDepartment of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, PR China |
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| Abstract: | A Wronskian formulation leading to rational solutions is presented for the Boussinesq equation. It involves third-order linear partial differential equations, whose representative systems are systematically solved. The resulting solutions formulas provide a direct but powerful approach for constructing rational solutions, positon solutions and complexiton solutions to the Boussinesq equation. Various examples of exact solutions of those three kinds are computed. The newly presented Wronskian formulation is different from the one previously presented by Li et al., which does not yield rational solutions. |
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| Keywords: | The Boussinesq equation Wronskian formulation Rational solutions Positons Complexitons |
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