Integrable hierarchy of higher nonlinear Schrödinger type equations.
Kundu, Anjan (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Kundu, Anjan (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Borhanifar, A., Jafari, H., Karim, S.A. (2008)
The Journal of Nonlinear Sciences and its Applications
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Diaz, J.Ildefonso, Hetzer, Georg (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kobayashi, Tadashi, Toda, Kouichi (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Nadjafikhah, Mehdi, Hejazi, Seyed-Reza (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Jiang, Weihua, Wang, Bin (2011)
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Tigran N. Harutyunyan (2009)
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Tsankov, Yulian (2010)
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MSC 2010: 44A35, 35L20, 35J05, 35J25 In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact, each explicit solution may be considered as a way for effective summation of a solution in the form of nonharmonic Fourier sine-expansion. Each explicit solution, may be used for numerical calculation of the solutions too. ...
Xiquan Liang, Ling Tang, Xichun Jiang (2011)
Formalized Mathematics
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In this article, we give some important theorems of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions.
Shulaia, D. (2002)
Georgian Mathematical Journal
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Fuguo Ge, Bing Xie (2008)
Formalized Mathematics
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In this article, we prove a series of differentiation identities [2] involving the arctan and arccot functions and specific combinations of special functions including trigonometric and exponential functions.MML identifier: FDIFF 11, version: 7.10.01 4.111.1036
Bo Li, Yanping Zhuang, Bing Xie, Pan Wang (2009)
Formalized Mathematics
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In this article, we give several integrability formulas of some functions including the trigonometric function and the index function [3]. We also give the definitions of the orthogonal polynomial and norm function, and some of their important properties [19].MML identifier: INTEGRA9, version: 7.11.01 4.117.1046