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Journal articles on the topic 'Nonlinear Schr??dinger equation'

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Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Previato, Emma. "nonlinear Schr�dinger equation." Duke Mathematical Journal 52, no. 2 (June 1985): 329–77. http://dx.doi.org/10.1215/s0012-7094-85-05218-4.

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2

Li Xiang－Zheng, Zhang Jin－Liang, Wang Yue－Ming, and Wang Ming－Liang. "Envelope solutions to nonlinear Schr?dinger equation." Acta Physica Sinica 53, no. 12 (2004): 4045. http://dx.doi.org/10.7498/aps.53.4045.

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3

Kulish, P. P. "Quantum OSP-invariant nonlinear Schr�dinger equation." Letters in Mathematical Physics 10, no. 1 (July 1985): 87–93. http://dx.doi.org/10.1007/bf00704591.

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4

Its, A. R., A. V. Rybin, and M. A. Sall'. "Exact integration of nonlinear Schr�dinger equation." Theoretical and Mathematical Physics 74, no. 1 (January 1988): 20–32. http://dx.doi.org/10.1007/bf01018207.

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5

林, 学好. "Difference Scheme of Nonlinear Schr?dinger Equation." Pure Mathematics 11, no. 04 (2021): 496–502. http://dx.doi.org/10.12677/pm.2021.114063.

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6

Vladimirov, V. S., and I. V. Volovich. "P-adic Schr�dinger-type equation." Letters in Mathematical Physics 18, no. 1 (July 1989): 43–53. http://dx.doi.org/10.1007/bf00397056.

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7

Lebowitz, Joel L., Harvey A. Rose, and Eugene R. Speer. "Statistical mechanics of the nonlinear Schr�dinger equation." Journal of Statistical Physics 50, no. 3-4 (February 1988): 657–87. http://dx.doi.org/10.1007/bf01026495.

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8

Chopik, V. I. "Non-Lie reduction of nonlinear Schr�dinger equation." Ukrainian Mathematical Journal 43, no. 11 (November 1991): 1396–400. http://dx.doi.org/10.1007/bf01067277.

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9

Gr�bert, B., and T. Kappeler. "Perturbations of the Defocusing Nonlinear Schr�dinger Equation." Milan Journal of Mathematics 71, no. 1 (September 1, 2003): 141–74. http://dx.doi.org/10.1007/s00032-002-0018-2.

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10

Bibikov, P. N., and V. O. Tarasov. "Boundary-value problem for nonlinear Schr�dinger equation." Theoretical and Mathematical Physics 79, no. 3 (June 1989): 570–79. http://dx.doi.org/10.1007/bf01016541.

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11

Orlov, A. Yu, and E. I. Shul'man. "Additional symmetries of the nonlinear Schr�dinger equation." Theoretical and Mathematical Physics 64, no. 2 (August 1985): 862–66. http://dx.doi.org/10.1007/bf01017968.

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12

Bogolyubov, N. M., and V. E. Korepin. "Quantum nonlinear Schr�dinger equation on a lattice." Theoretical and Mathematical Physics 66, no. 3 (March 1986): 300–305. http://dx.doi.org/10.1007/bf01018229.

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13

Roy, Swapna, and A. Roy Chowdhury. "Prolongation theory. A new nonlinear Schr�dinger equation." International Journal of Theoretical Physics 26, no. 7 (July 1987): 707–14. http://dx.doi.org/10.1007/bf00670578.

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14

Volobuev, A. N., and A. P. Tolstonogov. "Nonlinear schr�dinger equation in a hydroelasticity problem." Journal of Engineering Physics and Thermophysics 66, no. 2 (February 1994): 199–202. http://dx.doi.org/10.1007/bf00862722.

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15

Adomian, G., and R. Rach. "Linear and nonlinear Schr�dinger equations." Foundations of Physics 21, no. 8 (August 1991): 983–91. http://dx.doi.org/10.1007/bf00733220.

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16

Nagiev, Sh M. "Difference Schr�dinger equation andq-oscillator model." Theoretical and Mathematical Physics 102, no. 2 (February 1995): 180–87. http://dx.doi.org/10.1007/bf01040399.

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17

SHANG Wei, 尚维, and 张建勇 ZHANG Jian-yong. "Multimode Local Error Criterion of Nonlinear Schrdinger Equation." ACTA PHOTONICA SINICA 48, no. 4 (2019): 406001. http://dx.doi.org/10.3788/gzxb20194804.0406001.

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18

M-Ali, Mujahid Abd Elmjed. "Stability Solution of the Nonlinear Schrödinger Equation." International Journal of Modern Nonlinear Theory and Application 02, no. 02 (2013): 122–29. http://dx.doi.org/10.4236/ijmnta.2013.22015.

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19

Lin, Bin. "Spline Solution for the Nonlinear Schrödinger Equation." Journal of Applied Mathematics and Physics 04, no. 08 (2016): 1600–1609. http://dx.doi.org/10.4236/jamp.2016.48170.

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20

Haller, G. "Homoclinic jumping in the perturbed nonlinear Schr�dinger equation." Communications on Pure and Applied Mathematics 52, no. 1 (January 1999): 1–47. http://dx.doi.org/10.1002/(sici)1097-0312(199901)52:1<1::aid-cpa1>3.0.co;2-s.

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21

Tarasov, V. O. "Boundary-value problem for the nonlinear Schr�dinger equation." Journal of Soviet Mathematics 54, no. 3 (April 1991): 958–67. http://dx.doi.org/10.1007/bf01101127.

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22

Ulmer, W. "A solution spectrum of the nonlinear schr�dinger equation." International Journal of Theoretical Physics 27, no. 6 (June 1988): 767–85. http://dx.doi.org/10.1007/bf00669321.

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23

B�gout, Pascal. "Maximum decay rate for the nonlinear Schr�dinger equation." Nonlinear Differential Equations and Applications NoDEA 11, no. 4 (December 2004): 451–67. http://dx.doi.org/10.1007/s00030-004-2003-7.

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24

陈, 红宇. "Conformal Momentum of Damped Stochastic Nonlinear Schr?dinger Equation." Advances in Applied Mathematics 10, no. 04 (2021): 865–70. http://dx.doi.org/10.12677/aam.2021.104094.

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25

Graffi, Sandro, and Thierry Paul. "The Schr�dinger equation and canonical perturbation theory." Communications in Mathematical Physics 108, no. 1 (March 1987): 25–40. http://dx.doi.org/10.1007/bf01210701.

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26

Braun, M. A. "Relationship between a quasipotential equation and a Schr�dinger equation." Theoretical and Mathematical Physics 72, no. 3 (September 1987): 958–64. http://dx.doi.org/10.1007/bf01018302.

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27

Merle, F. "nonlinear Schr�dinger equations with critical power." Duke Mathematical Journal 69, no. 2 (February 1993): 427–54. http://dx.doi.org/10.1215/s0012-7094-93-06919-0.

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28

Surj�n, P�ter R. "Nonlinear schr�dinger equations and intermolecular interactions." Journal of Mathematical Chemistry 8, no. 1 (1991): 151–60. http://dx.doi.org/10.1007/bf01166931.

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29

Hayashi, Nakao. "Classical solutions of nonlinear Schr�dinger equations." Manuscripta Mathematica 55, no. 2 (June 1986): 171–90. http://dx.doi.org/10.1007/bf01168683.

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30

Zhang, Chengchuang, Chuanzhong Li, and Jingsong He. "Rogue Waves of the Kundu-Nonlinear Schrödinger Equation." Open Journal of Applied Sciences 03, no. 01 (2013): 94–98. http://dx.doi.org/10.4236/ojapps.2013.31b1019.

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31

Song Shi-Yan, Wang Jing, Meng Jun-Min, Wang Jian-Bu, and Hu Pei-Xin. "Nonlinear Schr?dinger equation for internal waves in deep sea." Acta Physica Sinica 59, no. 2 (2010): 1123. http://dx.doi.org/10.7498/aps.59.1123.

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32

WEI Jian-ping, 魏建平, 王俊 WANG Jun, 江兴方 JIANG Xing-fang, and 唐斌 TANG Bin. "Characteristics for the Soliton Based on Nonlinear Schrdinger Equation." ACTA PHOTONICA SINICA 42, no. 6 (2013): 674–78. http://dx.doi.org/10.3788/gzxb20134206.0674.

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33

Brizhik, L., A. Eremko, B. Piette, and W. J. Zakrzewski. "Static solutions of aD-dimensional modified nonlinear Schr dinger equation." Nonlinearity 16, no. 4 (June 6, 2003): 1481–97. http://dx.doi.org/10.1088/0951-7715/16/4/317.

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34

Li, Y., David W. McLaughlin, Jalal Shatah, and S. Wiggins. "Persistent homoclinic orbits for a perturbed nonlinear Schr�dinger equation." Communications on Pure and Applied Mathematics 49, no. 11 (November 1996): 1175–255. http://dx.doi.org/10.1002/(sici)1097-0312(199611)49:11<1175::aid-cpa2>3.0.co;2-9.

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35

Xue-Shen, Liu, Qi Yue-Ying, and Ding Pei-Zhu. "Periodic and Chaotic Breathers in the Nonlinear Schr dinger Equation." Chinese Physics Letters 21, no. 11 (October 27, 2004): 2081–84. http://dx.doi.org/10.1088/0256-307x/21/11/003.

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36

Hayashi, Nakao, and Tohru Ozawa. "Modified wave operators for the derivative nonlinear Schr�dinger equation." Mathematische Annalen 298, no. 1 (January 1994): 557–76. http://dx.doi.org/10.1007/bf01459751.

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37

Ding, Yanheng, and Kazunaga Tanaka. "Multiplicity of positive solutions of a nonlinear Schr�dinger equation." manuscripta mathematica 112, no. 1 (September 1, 2003): 109–35. http://dx.doi.org/10.1007/s00229-003-0397-x.

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38

Akhmediev, N. N., V. M. Eleonskii, and N. E. Kulagin. "Exact first-order solutions of the nonlinear Schr�dinger equation." Theoretical and Mathematical Physics 72, no. 2 (August 1987): 809–18. http://dx.doi.org/10.1007/bf01017105.

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39

Alfimov, G. L., A. R. Its, and N. E. Kulagin. "Modulation instability of solutions of the nonlinear Schr�dinger equation." Theoretical and Mathematical Physics 84, no. 2 (August 1990): 787–93. http://dx.doi.org/10.1007/bf01017675.

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40

Kitaev, A. V. "Self-similar solutions of the modified nonlinear Schr�dinger equation." Theoretical and Mathematical Physics 64, no. 3 (September 1985): 878–94. http://dx.doi.org/10.1007/bf01018348.

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41

Ulmer, W. "A solution spectrum of the nonlinear Schr�dinger equation. II." International Journal of Theoretical Physics 28, no. 5 (May 1989): 527–42. http://dx.doi.org/10.1007/bf00670833.

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42

Wen-jing FANG, 房文静, and 宋丽军 Li-jun SONG. "广义耦合非线性薛定谔方程的N-孤子解." Acta Sinica Quantum Optica 26, no. 3 (2020): 291. http://dx.doi.org/10.3788/jqo20202603.0601.

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43

Li-jun SONG, 宋丽军, and 徐晓雅 Xiao-ya XU. "广义耦合非线性薛定谔方程的4-暗孤子解." Acta Sinica Quantum Optica 26, no. 2 (2020): 172. http://dx.doi.org/10.3788/jqo20202602.0602.

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44

Klimontovich, Yu L. "On the statistical derivation of the Schr�dinger equation." Theoretical and Mathematical Physics 97, no. 1 (October 1993): 1111–25. http://dx.doi.org/10.1007/bf01014804.

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45

Ganelin, P. V., and V. I. Pupyshev. "Analytic properties of solution of electronic Schr�dinger equation." Theoretical and Mathematical Physics 88, no. 1 (July 1991): 694–98. http://dx.doi.org/10.1007/bf01016335.

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46

Chuburin, Yu P. "Multidimensional discrete Schr�dinger equation with limit periodic potential." Theoretical and Mathematical Physics 102, no. 1 (January 1995): 53–59. http://dx.doi.org/10.1007/bf01017455.

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47

Guan-Ting, Liu, and Fan Tian-You. "Periodic solutions of nonlinear Schr dinger type equations." Chinese Physics 13, no. 6 (May 27, 2004): 805–10. http://dx.doi.org/10.1088/1009-1963/13/6/004.

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48

CARLES, Rémi, and Yoshihisa NAKAMURA. "Nonlinear Schr\"{o}dinger equations with Stark potential." Hokkaido Mathematical Journal 33, no. 3 (December 2004): 719–29. http://dx.doi.org/10.14492/hokmj/1285851920.

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49

Wenming, Zou, Yang Zuo, and Li Houwang. "Normalized solutions for nonlinear Schrödinger equations." SCIENTIA SINICA Mathematica 50, no. 8 (July 15, 2020): 1023. http://dx.doi.org/10.1360/ssm-2020-0120.

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50

Tsuchida, Takayuki. "Integrable discretizations of derivative nonlinear Schr dinger equations." Journal of Physics A: Mathematical and General 35, no. 36 (August 27, 2002): 7827–47. http://dx.doi.org/10.1088/0305-4470/35/36/310.

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