Auto-Bäcklund transformation and similarity reductions for coupled Burger's equation (Q984261)
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scientific article; zbMATH DE number 5757511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Auto-Bäcklund transformation and similarity reductions for coupled Burger's equation |
scientific article; zbMATH DE number 5757511 |
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Auto-Bäcklund transformation and similarity reductions for coupled Burger's equation (English)
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19 July 2010
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As development of \textit{E. Fan}'s results [Phys. Lett. A 294 26--30 (2002; Zbl 0981.35064); Comput. Math. Appl. 43, No.~6--7, 671--680 (2002; Zbl 1002.35107)], the authors obtain solitary wave solutions and traveling wave solutions for coupled Burger's equation \[ u_t-u_{xx}+2uu_x+u_xv+v_xu=0, \; v_t-v_{xx}+2vv_x+v_xu+u_xv=0 \] at the usage of Bäcklund transformation and similarity reduction.
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Bäcklund transformation
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similarity reduction
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coupled Burger's equation
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solitary wave solution
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traveling wave solution
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0.94538283
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0.9383476
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0.92372435
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0.91693205
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0.9152152
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0.9109297
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0.9062989
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0.90521634
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