Exact and explicit solutions to nonlinear evolution equations using the division theorem |
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Authors: | ?smail Aslan |
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Institution: | Department of Mathematics, Izmir Institute of Technology, Urla, ?zmir 35430, Turkey |
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Abstract: | In this paper, we show the applicability of the first integral method, which is based on the ring theory of commutative algebra, to the regularized long-wave Burgers equation and the Gilson-Pickering equation under a parameter condition. Our method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are derived in a concise manner. |
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Keywords: | First integral method Regularized long-wave Burgers equation Gilson-Pickering equation Traveling wave solutions |
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