Searching for the (3+1)—Dimensional Painleve Integrable Model and its Solitary Wave Solution
被引量:9
参考文献24
-
1Tajicl M and Maesono H 1997 Phys. Rev. E 55 3351.
-
2Gedalin M. Scott C T and Band Y B 1997 Phys. Rev. Lett. 78 448.
-
3Kalinikos B A, Kovshikov N G and Patton E C 1997 Phys. Rev. Lett. 78 2827.
-
4Shcherbakov A S, Yukosarsky A and Zvegintsev V N 1996 Opt, Mem. Neural Netw, 5 313.
-
5Niiyama A and Koshiba M 1997 IEICE Trans. Commum. E80-B 522.
-
6Newton R 1976 Phys. Rev. Lett. 43 541.
-
7Newton R 1982 J. Math. Phys. 23 693.
-
8Gu C H 1992 J. Math. Phys. 26 199.
-
9Weiss J. Tabor M and Carnevale G 1983 J. Math. Phys. 24 522.
-
10Ablowitz M J. Ramani A and Segur H 1978 Lett. Buovo Cimento 23 333.
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-
1TANG Xiao-Yan LOU Sen-Yue.A Variable Separation Approach to Solve the Integrable and Nonintegrable Models:Coherent Structures of the (2 + 1)-Dimensional KdV Eqnation[J].Communications in Theoretical Physics,2002(7):1-8. 被引量:7
-
2徐昌智,张解放.(2+1)维非线性Burgers方程变量分离解和新型孤波结构[J].物理学报,2004,53(8):2407-2412. 被引量:8
-
3徐昌智,何宝钢,张解放.Variable separation solutions and new solitary wave structures to the (1+1)-dimensional equations of long-wave-short-wave resonant interaction[J].Chinese Physics B,2004,13(11):1777-1783. 被引量:3
-
4李画眉.New exact solutions of nonlinear Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields[J].Chinese Physics B,2005,14(2):251-256. 被引量:19
-
5吴涛,陈贻汉,熊艳.形变映射法求非线性方程的行波解[J].湖北大学学报(自然科学版),2005,27(2):104-108. 被引量:2
-
6杜先云.哈密尔顿方程的多种行波解[J].绵阳师范学院学报,2005,24(2):6-9. 被引量:2
-
7套格图桑,斯仁道尔吉.非线性长波方程组和Benjamin方程的新精确孤波解[J].物理学报,2006,55(7):3246-3254. 被引量:26
-
8钟太勇,刘利敏,贾卫红.形变映射法求非线性薛定谔方程的显示精确行波解[J].西南民族大学学报(自然科学版),2007,33(6):1264-1268. 被引量:2
-
9尚亚东.组合KdV与MKdV方程的显式精确解[J].应用数学,1999,12(1):6-8. 被引量:11
-
10闫振亚,张鸿庆.非线性浅水长波近似方程组的显式精确解[J].物理学报,1999,48(11):1962-1968. 被引量:42
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
2曾云波,李翊神,陈登远.和推广的Harry Dym方程族相联系的一族完全可积的Hamilton系统(英文)[J].中国科学技术大学学报,1991,21(4):397-410.
-
3王宇.Integrable Bogoliubov Transform and Integrable Model[J].Chinese Physics Letters,2003,20(2):177-179.
-
4Jiefang ZhangInstitute of Nonlinear Physics and Deraftment of Physics, Zhejiang Normal University, Jinhua 321004, Zhejiang, P. R. China.New Solitary Wave Solution of the Combined KdV and mKdV Equation[J].浙江海洋学院学报(人文科学版),1997,14(3):30-34.
-
5ZHANGShun-Li,LOUSen-Yue.High-Dimensional Schwarzian Derivatives and Painleve Integrable Models[J].Communications in Theoretical Physics,2002,37(5):513-516.
-
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-
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-
8俞军,楼森岳.Deformation and (3 + 1)-dimensional integrable model[J].Science China Mathematics,2000,43(6):655-660.
-
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-
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