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In this paper, using the modified Clarkson-Kruskal direct method, the symmetries and the reductions of (2+1) dimensional Broer-Kau-Kupe-rshmidt (BKK) are obtained. At the same time, a great many of solutions are derived by solving the reduction equations, including the rational functions hyperbolic functions, the trigonometric functions, the power series solution, and the Airy function solution.
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Keywords:
- the modified CK’ /
- s direct method /
- the BKK system /
- symmetry reduction
[1] L D Z 2005 Acta Phys. Sin. 54 4501 (in Chinese) [吕大昭2005物理学报 54 4501]
[2] Wu J P 2011 Chin. Phys. Lett. 28 060207
[3] Liang L W, Li X D, Li Y X 2009 Acta Phys. Sin. 58 2159 (in Chinese) [梁立为, 李兴东, 李玉霞 2009 物理学报 58 2159]
[4] Chen H T, Zhang H Q 2004 Chaos Soliton. Fract. 20 765
[5] L D Z, Cui Y Y, Liu C H, Zhang Y 2010 Acta Phys. Sin. 59 6793 (in Chinese) [吕大昭, 崔艳英, 刘长河, 张艳 2010 物理学报 59 6793]
[6] Zuo J M, Zhang Y M 2011 Chin. Phys. B 20 010205
[7] Pang J, Jin L H, Zhao Q 2012 Acta Phys. Sin. 61 140201 (in Chinese) [庞晶, 靳玲花, 赵强 2012 物理学报 61 140201]
[8] Clarkson P A, Kruskal M D 1989 Math. Phys. 30 2201
[9] Xin X P, Liu X Q, Zhang L L 2011 Chin. Phys. Lett. 28 1
[10] Trikia H, Wazwazb A 2009 Appl. Math. Comput. 214 370
[11] Wang T T, Yu J Q 2011 Jounal of Liaocheng University. 24 1 (in Chinese) [王婷婷, 于金倩 2011 聊城大学学报 24 1]
[12] Clarkson P A 2003 Appl. Math. Comput. 153 127
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[1] L D Z 2005 Acta Phys. Sin. 54 4501 (in Chinese) [吕大昭2005物理学报 54 4501]
[2] Wu J P 2011 Chin. Phys. Lett. 28 060207
[3] Liang L W, Li X D, Li Y X 2009 Acta Phys. Sin. 58 2159 (in Chinese) [梁立为, 李兴东, 李玉霞 2009 物理学报 58 2159]
[4] Chen H T, Zhang H Q 2004 Chaos Soliton. Fract. 20 765
[5] L D Z, Cui Y Y, Liu C H, Zhang Y 2010 Acta Phys. Sin. 59 6793 (in Chinese) [吕大昭, 崔艳英, 刘长河, 张艳 2010 物理学报 59 6793]
[6] Zuo J M, Zhang Y M 2011 Chin. Phys. B 20 010205
[7] Pang J, Jin L H, Zhao Q 2012 Acta Phys. Sin. 61 140201 (in Chinese) [庞晶, 靳玲花, 赵强 2012 物理学报 61 140201]
[8] Clarkson P A, Kruskal M D 1989 Math. Phys. 30 2201
[9] Xin X P, Liu X Q, Zhang L L 2011 Chin. Phys. Lett. 28 1
[10] Trikia H, Wazwazb A 2009 Appl. Math. Comput. 214 370
[11] Wang T T, Yu J Q 2011 Jounal of Liaocheng University. 24 1 (in Chinese) [王婷婷, 于金倩 2011 聊城大学学报 24 1]
[12] Clarkson P A 2003 Appl. Math. Comput. 153 127
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