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为了构造非线性发展方程的无穷序列类孤子精确解, 发掘第一种椭圆辅助方程的构造性和机械化性特点, 获得了该方程的一些新类型解和相应的 Bcklund变换. 在此基础上利用符号计算系统Mathematica构造了Nizhnik-Novikov-Vesselov方程的 无穷序列类孤子精确解, 包括无穷序列光滑类孤子解、 无穷序列类尖峰孤立子解和无穷序列类紧孤立子解.
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关键词:
- 第一种椭圆辅助方程 /
- Bcklund 变换 /
- Nizhnik-Novikov-Vesselov方程 /
- 无穷序列精确解
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[19] Chen Y, Li B, Zhang H Q 2003 Chin. Phys. 12 940
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[25] Qiang J Y, Ma S H, Fang J P 2010 Chin. Phys. B 19 090305
[26] Xu G Q, Li Z B 2003 Commun. Theor. Phys. 39 39
[27] Chen H T, Zhang H Q 2004 Commun. Theor. Phys. 42 497
[28] Taogetusang, Sirendaoerji 2011 Journal of Inner Mongolia University 42 344 (in Chinese) [套格图桑, 斯仁道尔吉 2011 内蒙古大学学报 42 344]
[29] Jiao X Y, Wang J H, Zhang H Q 2005 Commun. Theor. Phys. 44 407
[30] Camassa R, Holm D D 1993 Phys. Rev. Lett. 71 1661
[31] Rosenau P, Hyman J 1993 Phys. Rev. Lett. 70 564
[32] Dullin H R, Gottwald G A, Holm D D 2002 Phys. Rev. Lett. 87 4501
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[1] Fan E G 2000 Phys. Lett. A 277 212
[2] Chen Y, Yan Z Y, Li B, Zhang H Q 2003 Chin. Phys. 12 1
[3] Chen Y, Li B, Zhang H Q 2003 Commun. Theor. Phys. 40 137
[4] Zhang J L, Ren D F, Wang M L, Wang Y M, Fang Z D 2003 Chin. Phys. 12 825
[5] Zhang L, Zhang L F, Li C Y 2008 Chin. Phys. B 17 403
[6] Zhao X Q, Zhi H Y, Zhang H Q 2006 Chin. Phys. 15 2202
[7] Lu B, Zhang H Q 2008 Chin. Phys. B 17 3974
[8] Taogetusang, Sirendaoerji, Li S M 2010 Chin. Phys. B 19 080303(1)
[9] Taogetusang, Sirendaoerji, Wang Q P 2009 Acta Sci. J. Nat. Univ. NeiMongol 38 387 (in Chinese) [套格图桑, 斯仁道尔吉, 王庆鹏 2009 内蒙古师范大学学报 38 387]
[10] Taogetusang, Sirendaoerji 2010 Acta Phys. Sin. 59 5194 (in Chinese) [套格图桑, 斯仁道尔吉 2010 物理学报 59 5194]
[11] Taogetusang, Sirendaoerji 2010 Acta. Phys. Sin. 59 4413 (in Chinese) [套格图桑, 斯仁道尔吉 2010 物理学报 59 4413]
[12] Chen H T, Zhang H Q 2004 Commun. Theor. Phys. 42 497
[13] Xie F D, Yuan Z T 2005 Commun. Theor. Phys. 43 39
[14] Zhen X D, Chen Y, Li B, Zhang H Q 2003 Commun. Theor. Phys. 39 647
[15] Xie F D, Gao X S 2004 Commun. Theor. Phys. 41 353
[16] Chen Y, Li B 2004 Commun. Theor. Phys. 41 1
[17] Li D S, Zhang H Q 2004 Chin. Phys. 13 1377
[18] Li D S, Zhang H Q 2004 Chin. Phys. 13 984
[19] Chen Y, Li B, Zhang H Q 2003 Chin. Phys. 12 940
[20] Lü Z S, Zhang H Q 2003 Commun. Theor. Phys. 39 405
[21] Xie F D, Chen J, Lü Z S 2005 Commun. Theor. Phys. 43 585
[22] Ma S H, Fang J P, Zhu H P 2007 Acta Phys. Sin. 56 4319 (in Chinese) [马松华, 方建平, 朱海平 2007 物理学报 56 4319]
[23] Ma S H, Wu X H, Fang J P, Zheng C L 2008 Acta Phys. Sin. 57 11 (in Chinese) [马松华, 吴小红, 方建平, 郑春龙 2008 物理学报 57 11]
[24] Pan Z H, Ma S H, Fang J P 2010 Chin. Phys. B 19 100301
[25] Qiang J Y, Ma S H, Fang J P 2010 Chin. Phys. B 19 090305
[26] Xu G Q, Li Z B 2003 Commun. Theor. Phys. 39 39
[27] Chen H T, Zhang H Q 2004 Commun. Theor. Phys. 42 497
[28] Taogetusang, Sirendaoerji 2011 Journal of Inner Mongolia University 42 344 (in Chinese) [套格图桑, 斯仁道尔吉 2011 内蒙古大学学报 42 344]
[29] Jiao X Y, Wang J H, Zhang H Q 2005 Commun. Theor. Phys. 44 407
[30] Camassa R, Holm D D 1993 Phys. Rev. Lett. 71 1661
[31] Rosenau P, Hyman J 1993 Phys. Rev. Lett. 70 564
[32] Dullin H R, Gottwald G A, Holm D D 2002 Phys. Rev. Lett. 87 4501
[33] Guo B L, Liu Z R 2003 Sci. China A 33 325 (in Chinese) [郭柏灵, 刘正荣 2003 中国科学 A 33 325]
[34] Yin J L, Tian L X 2009 Acta Phys. Sin. 58 3632 (in Chinese) [殷久利, 田立新 2009 物理学报 58 3632]
[35] Yu L Q, Tian L X 2006 Math. Practice Theory 36 261 (in Chinese) [余丽琴, 田立新 2006 数学的实践与认识 36 261]
[36] Yu L Q, Tian L X 2005 Pure Appl. Math. 21 310 (in Chinese) [余丽琴, 田立新 2005 纯粹数学与应用数学 21 310]
[37] Yan Z Y 2002 Chaos Soliton. Fract. 14 1151
[38] Yin J L, Tian L X 2007 Acta Math. Phys. 27 27 (in Chinese) [殷久利, 田立新 2007 数学物理学报 27 27]
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