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We generalize the (G/G)-expansion method, introduce new auxiliary equation and add negative power exponent. We obtain some new exact solutions of Zakharov equations using the extended (G/G)-expansion method. This method can also be applied to other nonlinear evolution equations.
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Keywords:
- (G/G)-expansion /
- Zakharov equations /
- exact solutions
[1] Wang M L 1995 Acta Lett. A 199 169
[2] Fan E G, Zhang H Q 1998 Acta Phys. Sin. 47 353 (in Chinese) [范恩贵, 张鸿庆 1998 47 353]
[3] Li Z B, Zhang S Q 1997 Acta Math. Sin. 17 81 (in Chinese) [李志斌, 张善卿 1997 数学 17 81]
[4] Shi Y R, L K P, Duan W S, Zhao J B 2001 Acta Phys. Sin. 50 2074 (in Chinese) [石玉仁, 吕克璞, 段文山, 赵金保 2001 50 2074]
[5] Ablowitz M J, Clarkson P A 1991 Solitons, Nonlinear Evolution Equations and Inverse Scattering (Gambridge: Gambridge University Press)
[6] Lou S Y 1998 Acta Phys. Sin. 47 1739 (in Chinese) [楼森岳 1998 47 1739]
[7] Wu G J, Zhang M, Shi L M, Zhang W L, Han J H 2007 Acta Phys. Sin. 56 5055 (in Chinese) [吴国将, 张苗, 史良马, 张文亮, 韩家骅 2007 56 5055]
[8] Liu S K, Fu Z T, Liu S D, Zhao Q 2001 Phys. Lett. A 289 69
[9] Wang M L, Li Ｘ Z, Zhang J L 2008 Phys. Lett. A 372 417
[10] Li B Q, Ma Y L 2009 Acta Phys. Sin. 58 4373 (in Chinese) [李帮庆, 马玉兰 2009 58 4373]
[11] Pang J, Jin L H, Zhao Q 2012 Acta Phys. Sin. 61 140201 (in Chinese) [庞晶, 靳玲花, 赵强 2012 61 140201]
[12] Taogetusang 2013 Acta Phys. Sin. 62 070202 (in Chinese) [套格图桑 2013 62 070202]
[13] Bekir A, Ayhan B, Özer M N 2013 Chin. Phys. B 22 010202
[14] Xu L L, Chen H T 2013 Acta Phys. Sin. 62 090204 (in Chinese) [徐兰兰, 陈怀堂 2013 62 090204]
[15] Inc M, Ulutas E, Biswas A 2013 Chin. Phys. B 22 060204
[16] Huang D J, Zhang H Q 2004 Acta Phys. Sin. 53 2434 (in Chinese) [黄定江, 张鸿庆 2004 53 2434]
[17] Ma S H, Fang J P 2012 Acta Phys. Sin. 61 180505 (in Chinese) [马松华, 方建平 2012 61 180505]
[18] Wang M L, Zhou Y B 1996 Phys. Lett. A 216 67
[19] Wang M L, Zhou Y B 2003 Phys. Lett. A 318 84
[20] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[21] Fang J P, Zheng C L, Zhu J M 2005 Commun. Theor. Phys. 44 203
[22] Zuo J M 2010 Appl. Math. Comput. 217 376
[23] Liu P, Li Z L 2013 Chin. Phys. B 22 050204
[24] Shehata A R 2010 Appl. Math. Comput. 217 1
[25] Zhang S 2007 Phys. Lett. A 368 470
[26] Zhang S, Xia T C 2007 Phys. Lett. A 363 356
[27] Wu J P 2011 Chin. Phys. Lett. 28 060207
[28] Liu S K, Zhao Q, Liu S D 2011 Chin. Phys. B 20 040202
[29] Zayed E M E 2009 Appl. Math. Comput. 30 89
[30] Bekir A 2008 Phys. Scr. A 77 501
[31] Zhang S 2006 Phys. Lett. A 358 414
[32] Wei Y, Yue C, Zhang Y F 2007 Chin. Phys. 16 588
[33] Li Z L 2009 Chin. Phys. B 18 4074
[34] Lu B, Zhang H Q 2008 Chin. Phys. B 17 3974
[35] Chen L Q, Zhang H Q, Gu S L 2007 Chin. Phys. 16 582
[36] Zhang S L, Qu C Z, Lou S Y 2005 Chin. Phys. 14 1486
[37] Fan E G, Chen Y 2007 Chin. Phys. 16 6
[38] Zuo J M, Zhang Y M 2011 Chin. Phys. B 20 010205
[39] Shi Y R, Zhang J, Yang H J, Duan W S 2010 Acta Phys. Sin. 59 7564 (in Chinese) [石玉仁, 张娟, 杨红娟, 段文山 2010 59 7564]
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[1] Wang M L 1995 Acta Lett. A 199 169
[2] Fan E G, Zhang H Q 1998 Acta Phys. Sin. 47 353 (in Chinese) [范恩贵, 张鸿庆 1998 47 353]
[3] Li Z B, Zhang S Q 1997 Acta Math. Sin. 17 81 (in Chinese) [李志斌, 张善卿 1997 数学 17 81]
[4] Shi Y R, L K P, Duan W S, Zhao J B 2001 Acta Phys. Sin. 50 2074 (in Chinese) [石玉仁, 吕克璞, 段文山, 赵金保 2001 50 2074]
[5] Ablowitz M J, Clarkson P A 1991 Solitons, Nonlinear Evolution Equations and Inverse Scattering (Gambridge: Gambridge University Press)
[6] Lou S Y 1998 Acta Phys. Sin. 47 1739 (in Chinese) [楼森岳 1998 47 1739]
[7] Wu G J, Zhang M, Shi L M, Zhang W L, Han J H 2007 Acta Phys. Sin. 56 5055 (in Chinese) [吴国将, 张苗, 史良马, 张文亮, 韩家骅 2007 56 5055]
[8] Liu S K, Fu Z T, Liu S D, Zhao Q 2001 Phys. Lett. A 289 69
[9] Wang M L, Li Ｘ Z, Zhang J L 2008 Phys. Lett. A 372 417
[10] Li B Q, Ma Y L 2009 Acta Phys. Sin. 58 4373 (in Chinese) [李帮庆, 马玉兰 2009 58 4373]
[11] Pang J, Jin L H, Zhao Q 2012 Acta Phys. Sin. 61 140201 (in Chinese) [庞晶, 靳玲花, 赵强 2012 61 140201]
[12] Taogetusang 2013 Acta Phys. Sin. 62 070202 (in Chinese) [套格图桑 2013 62 070202]
[13] Bekir A, Ayhan B, Özer M N 2013 Chin. Phys. B 22 010202
[14] Xu L L, Chen H T 2013 Acta Phys. Sin. 62 090204 (in Chinese) [徐兰兰, 陈怀堂 2013 62 090204]
[15] Inc M, Ulutas E, Biswas A 2013 Chin. Phys. B 22 060204
[16] Huang D J, Zhang H Q 2004 Acta Phys. Sin. 53 2434 (in Chinese) [黄定江, 张鸿庆 2004 53 2434]
[17] Ma S H, Fang J P 2012 Acta Phys. Sin. 61 180505 (in Chinese) [马松华, 方建平 2012 61 180505]
[18] Wang M L, Zhou Y B 1996 Phys. Lett. A 216 67
[19] Wang M L, Zhou Y B 2003 Phys. Lett. A 318 84
[20] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[21] Fang J P, Zheng C L, Zhu J M 2005 Commun. Theor. Phys. 44 203
[22] Zuo J M 2010 Appl. Math. Comput. 217 376
[23] Liu P, Li Z L 2013 Chin. Phys. B 22 050204
[24] Shehata A R 2010 Appl. Math. Comput. 217 1
[25] Zhang S 2007 Phys. Lett. A 368 470
[26] Zhang S, Xia T C 2007 Phys. Lett. A 363 356
[27] Wu J P 2011 Chin. Phys. Lett. 28 060207
[28] Liu S K, Zhao Q, Liu S D 2011 Chin. Phys. B 20 040202
[29] Zayed E M E 2009 Appl. Math. Comput. 30 89
[30] Bekir A 2008 Phys. Scr. A 77 501
[31] Zhang S 2006 Phys. Lett. A 358 414
[32] Wei Y, Yue C, Zhang Y F 2007 Chin. Phys. 16 588
[33] Li Z L 2009 Chin. Phys. B 18 4074
[34] Lu B, Zhang H Q 2008 Chin. Phys. B 17 3974
[35] Chen L Q, Zhang H Q, Gu S L 2007 Chin. Phys. 16 582
[36] Zhang S L, Qu C Z, Lou S Y 2005 Chin. Phys. 14 1486
[37] Fan E G, Chen Y 2007 Chin. Phys. 16 6
[38] Zuo J M, Zhang Y M 2011 Chin. Phys. B 20 010205
[39] Shi Y R, Zhang J, Yang H J, Duan W S 2010 Acta Phys. Sin. 59 7564 (in Chinese) [石玉仁, 张娟, 杨红娟, 段文山 2010 59 7564]
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