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Shock position for a class of Robin problems of singularly perturbed nonlinear equation

Mo Jia-Qi Liu Shu-De Tang Rong-Rong

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Shock position for a class of Robin problems of singularly perturbed nonlinear equation

Mo Jia-Qi, Liu Shu-De, Tang Rong-Rong
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  • The expressions of shock solutions for singularly perturbed Robin problem of nonlinear equations are constructed using the matching method. The conditions for appearance of shock near the boundary are discussed.
    [1]

    Wang M L 1995 Phys. Lett. A 199 169

    [2]

    Wu G J, Han J H, Shi L M, Zhang M 2006 Acta Phys. Sin. 55 3858 (in Chinese) [吴国将、 韩家骅、 史良马、 张 苗 2006 物理学报 55 3858]

    [3]

    Li X Z, Li X Y, Zhang L Y, Zhang J L 2008 Acta Phys. Sin. 57 2203 (in Chinese) [李向正、 李修勇、 赵丽英、 张金良 2006 物理学报 57 2203]

    [4]

    Li Z B, Zhang S Q 1997 Acta Math. Phys. Sin. 17 81 (in Chinese) [李志斌、 张善卿 1997 数学物理学报 17 81]

    [5]

    Gao L, Xu W, Tang Y N, Shen J W 2007 Acta Phys. Sin. 56 1860 (in Chinese) [高 亮、 徐 伟、 唐亚宁、 申建伟 2007 物理学报 56 1860]

    [6]

    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]

    [7]

    Bekir A 2008 Phys. Lett. A 372 2254

    [8]

    Li B Q, Ma Y L 2009 Acta Phys. Sin. 58 4373 (in Chinese) [李帮庆、 马玉兰 2009 物理学报 58 4373]

    [9]

    Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese) [马松华、 强继业、 方建平 2007 物理学报 56 620]

    [10]

    Ma S H, Qiang J Y, Fang J P 2007 Comm. Theor. Phys. 48 662

    [11]

    Loutsenko I 2006 Comm. Math. Phys. 268 465

    [12]

    Parkes E J 2008 Chaos Soliton. Fract. 38 154

    [13]

    Graef J R, Kong L 2008 Math. Proc.Camb. Philos. Soc. 145 489

    [14]

    Hovhannisyan G, Vulanovic R 2008 Nonlinear Stud. 15 297

    [15]

    Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392

    [16]

    Ramos M 2009 J. Math. Anal. Appl. 352 246

    [17]

    Mo J Q, Zhang W J, He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) [莫嘉琪、 张伟江、 何 铭 2007 物理学报 56 1843]

    [18]

    Mo J Q, Zhang W J, Chen X F 2007 Acta Phys. Sin. 56 6169 (in Chinese) [莫嘉琪、 张伟江、 陈贤峰 2007 物理学报 56 6169]

    [19]

    Mo J Q 2009 Chin. Phys. Lett. 26 010204

    [20]

    Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) [莫嘉琪 2009 物理学报 58 695]

    [21]

    Mo J Q, Yao J S 2009 Acta Phys. Sin. 58 7419 (in Chinese) [莫嘉琪、 姚静荪 2009 物理学报 58 7419]

    [22]

    Mo J Q 2009 Chin. Phys. Lett. 26 060202

    [23]

    Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 物理学报 58 2930]

    [24]

    Mo J Q, Cheng Y 2009 Acta Phys. Sin. 58 4379 (in Chinese) [莫嘉琪、程 燕 2009 物理学报 58 4379]

    [25]

    Mo J Q 2009 Sci. Chin. Ser. G 52 1007

    [26]

    Mo J Q, Lin W T, Wang H 2008 Chin. Geographical Sci. 18 193

    [27]

    Mo J Q, Lin W T, Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) [莫嘉琪、 林万涛、 林一骅 2007 物理学报 56 3127]

    [28]

    Mo J Q, Lin W T 2008 Acta Phys. Sin. 57 6689 (in Chinese) [莫嘉琪、 林万涛 2008物理学报 57 6689]

    [29]

    Mo J Q, Lin Y H, Lin W T 2009 Acta Phys. Sin. 58 6692 (in Chinese) [莫嘉琪、 林一骅、 林万涛 2009 物理学报 58 6692]

    [30]

    Mo J Q, Lin S R 2009 Chin. Phys. B 18 3628

    [31]

    Mo J Q, Lin W T 2008 Chin. Phys. B 17 370

    [32]

    Mo J Q, Lin W T 2008 Chin. Phys. B 17 743

  • [1]

    Wang M L 1995 Phys. Lett. A 199 169

    [2]

    Wu G J, Han J H, Shi L M, Zhang M 2006 Acta Phys. Sin. 55 3858 (in Chinese) [吴国将、 韩家骅、 史良马、 张 苗 2006 物理学报 55 3858]

    [3]

    Li X Z, Li X Y, Zhang L Y, Zhang J L 2008 Acta Phys. Sin. 57 2203 (in Chinese) [李向正、 李修勇、 赵丽英、 张金良 2006 物理学报 57 2203]

    [4]

    Li Z B, Zhang S Q 1997 Acta Math. Phys. Sin. 17 81 (in Chinese) [李志斌、 张善卿 1997 数学物理学报 17 81]

    [5]

    Gao L, Xu W, Tang Y N, Shen J W 2007 Acta Phys. Sin. 56 1860 (in Chinese) [高 亮、 徐 伟、 唐亚宁、 申建伟 2007 物理学报 56 1860]

    [6]

    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]

    [7]

    Bekir A 2008 Phys. Lett. A 372 2254

    [8]

    Li B Q, Ma Y L 2009 Acta Phys. Sin. 58 4373 (in Chinese) [李帮庆、 马玉兰 2009 物理学报 58 4373]

    [9]

    Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese) [马松华、 强继业、 方建平 2007 物理学报 56 620]

    [10]

    Ma S H, Qiang J Y, Fang J P 2007 Comm. Theor. Phys. 48 662

    [11]

    Loutsenko I 2006 Comm. Math. Phys. 268 465

    [12]

    Parkes E J 2008 Chaos Soliton. Fract. 38 154

    [13]

    Graef J R, Kong L 2008 Math. Proc.Camb. Philos. Soc. 145 489

    [14]

    Hovhannisyan G, Vulanovic R 2008 Nonlinear Stud. 15 297

    [15]

    Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392

    [16]

    Ramos M 2009 J. Math. Anal. Appl. 352 246

    [17]

    Mo J Q, Zhang W J, He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) [莫嘉琪、 张伟江、 何 铭 2007 物理学报 56 1843]

    [18]

    Mo J Q, Zhang W J, Chen X F 2007 Acta Phys. Sin. 56 6169 (in Chinese) [莫嘉琪、 张伟江、 陈贤峰 2007 物理学报 56 6169]

    [19]

    Mo J Q 2009 Chin. Phys. Lett. 26 010204

    [20]

    Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) [莫嘉琪 2009 物理学报 58 695]

    [21]

    Mo J Q, Yao J S 2009 Acta Phys. Sin. 58 7419 (in Chinese) [莫嘉琪、 姚静荪 2009 物理学报 58 7419]

    [22]

    Mo J Q 2009 Chin. Phys. Lett. 26 060202

    [23]

    Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 物理学报 58 2930]

    [24]

    Mo J Q, Cheng Y 2009 Acta Phys. Sin. 58 4379 (in Chinese) [莫嘉琪、程 燕 2009 物理学报 58 4379]

    [25]

    Mo J Q 2009 Sci. Chin. Ser. G 52 1007

    [26]

    Mo J Q, Lin W T, Wang H 2008 Chin. Geographical Sci. 18 193

    [27]

    Mo J Q, Lin W T, Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) [莫嘉琪、 林万涛、 林一骅 2007 物理学报 56 3127]

    [28]

    Mo J Q, Lin W T 2008 Acta Phys. Sin. 57 6689 (in Chinese) [莫嘉琪、 林万涛 2008物理学报 57 6689]

    [29]

    Mo J Q, Lin Y H, Lin W T 2009 Acta Phys. Sin. 58 6692 (in Chinese) [莫嘉琪、 林一骅、 林万涛 2009 物理学报 58 6692]

    [30]

    Mo J Q, Lin S R 2009 Chin. Phys. B 18 3628

    [31]

    Mo J Q, Lin W T 2008 Chin. Phys. B 17 370

    [32]

    Mo J Q, Lin W T 2008 Chin. Phys. B 17 743

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Publishing process
  • Received Date:  03 October 2009
  • Accepted Date:  24 October 2009
  • Published Online:  15 July 2010

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