Symmetry Reductions and Exact Solutions of Blaszak-Marciniak Four-Field Lattice Equation |
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Authors: | DONG Zhong-Zhou and CHEN Yong |
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Institution: | Shanghai Key Laboratory of Trustworthy Computing, East China Normal;University, Shanghai 200062, China |
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Abstract: | Applying the Lie group method to the differential-difference equation, the Lie point symmetry of Blaszak-Marciniak four-field Lattice equation is obtained. Using the obtained symmetry, the similarity reduction equations of Blaszak-Marciniak four-field Lattice equation are derived. Solving the reduction, we get the solution of Blaszak-Marciniak four-field Lattice equation which not only recovers one of the solutions obtained by Ma and Hu J. Math. Phys. 40 (1999) 6071] but also has the singularity when we choose the arbitrary constants accurately. |
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Keywords: | Blaszak-Marciniak four-field lattice equation classical Lie method explicit solution |
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