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By applying the direct perturbation method to the 3-dimensional nonlinear Schrö,dinger equation with perturbation, we obtain its asymptotical solutions, which contain not only the zero-order solutions, but also the first-order corrections. Through these solutions, the effect of perturbation on the soliton is analyzed as well.
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Keywords:
- direct perturbation method /
- perturbation /
- 3-dimensional nonlinear Schrö /
- dinger equation /
- asymptotical solution
[1] Kaup D J 1976 SIAM J. Appl. Math. 31 121
[2] Karpman V I, Maslov E M 1977 Sov. Phys.JETP 46 281
[3] Chen S R, Chen Z D, Yuan X Z, Huang N N 1999 Chin. Phys. 8 590
[4] Tang Y, Yan J R , Zhang K W, Chen Z H 1999 Acta Phys.Sin. 48 480 (in Chinese)[唐 翌、颜家壬、张凯旺、陈振华 1999 48 480]
[5] Pan L X, Yu H Y, Yan J R 2008 Acta Phys. Sin. 57 1316(in Chinese)[潘留仙、俞慧友、颜家壬 2008 57 1316]
[6] Lou S Y 1999 Chin. Phys. Lett. 16 659
[7] Cheng X P, Lin J, Wang Z P 2007 Acta Phys.Sin. 56 3031(in Chinese)[程雪苹、 林 机、 王志平 2007 56 3031]
[8] Fibich G, Papanicolaou G 1999 SIAM J. Appl. Math. 60 183
[9] Xu Y, Xue D S, Zuo W, Li F S 2003 Acta Phys. Sin. 52 2896(in Chinese)[徐 岩、薛德胜、左 维、李发伸 2003 52 2896]
[10] Ruan H Y, Chen Y X 2001 Acta Phys.Sin. 50 586(in Chinese)[阮航宇、陈一新 2001 50 586]
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[1] Kaup D J 1976 SIAM J. Appl. Math. 31 121
[2] Karpman V I, Maslov E M 1977 Sov. Phys.JETP 46 281
[3] Chen S R, Chen Z D, Yuan X Z, Huang N N 1999 Chin. Phys. 8 590
[4] Tang Y, Yan J R , Zhang K W, Chen Z H 1999 Acta Phys.Sin. 48 480 (in Chinese)[唐 翌、颜家壬、张凯旺、陈振华 1999 48 480]
[5] Pan L X, Yu H Y, Yan J R 2008 Acta Phys. Sin. 57 1316(in Chinese)[潘留仙、俞慧友、颜家壬 2008 57 1316]
[6] Lou S Y 1999 Chin. Phys. Lett. 16 659
[7] Cheng X P, Lin J, Wang Z P 2007 Acta Phys.Sin. 56 3031(in Chinese)[程雪苹、 林 机、 王志平 2007 56 3031]
[8] Fibich G, Papanicolaou G 1999 SIAM J. Appl. Math. 60 183
[9] Xu Y, Xue D S, Zuo W, Li F S 2003 Acta Phys. Sin. 52 2896(in Chinese)[徐 岩、薛德胜、左 维、李发伸 2003 52 2896]
[10] Ruan H Y, Chen Y X 2001 Acta Phys.Sin. 50 586(in Chinese)[阮航宇、陈一新 2001 50 586]
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