Integrable motion of curves in self-consistent potentials: Relation to spin systems and soliton equations

R. Myrzakulov; G.K. Mamyrbekova; G.N. Nugmanova; K.R. Yesmakhanova; M. Lakshmanan

doi:10.1016/j.physleta.2014.05.010

Integrable motion of curves in self-consistent potentials: Relation to spin systems and soliton equations

Physics Letters A ◽

10.1016/j.physleta.2014.05.010 ◽

2014 ◽

Vol 378 (30-31) ◽

pp. 2118-2123 ◽

Cited By ~ 12

Author(s):

R. Myrzakulov ◽

G.K. Mamyrbekova ◽

G.N. Nugmanova ◽

K.R. Yesmakhanova ◽

M. Lakshmanan

Keyword(s):

Spin Systems ◽

Soliton Equations ◽

Self Consistent

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Conservation laws of some soliton equations with self-consistent sources

Journal of Shanghai University (English Edition) ◽

10.1007/s11741-011-0714-1 ◽

2011 ◽

Vol 15 (3) ◽

pp. 157-165 ◽

Cited By ~ 1

Author(s):

Qi Li ◽

Da-jun Zhang ◽

Deng-yuan Chen

Keyword(s):

Conservation Laws ◽

Soliton Equations ◽

Self Consistent

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Lie symmetries of soliton equations with self-consistent sources via source generation procedure

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.03.070 ◽

2009 ◽

Vol 357 (1) ◽

pp. 201-213 ◽

Cited By ~ 2

Author(s):

Juan Hu ◽

Xian-Min Qian ◽

Hon-Wah Tam

Keyword(s):

Lie Symmetries ◽

Soliton Equations ◽

Self Consistent ◽

Generation Procedure

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Self‐consistent fluctuation theory for classical spin systems on 3D lattices

Journal of Applied Physics ◽

10.1063/1.350054 ◽

1991 ◽

Vol 70 (10) ◽

pp. 6086-6088

Author(s):

D. A. Garanin ◽

V. S. Lutovinov

Keyword(s):

Spin Systems ◽

Fluctuation Theory ◽

Classical Spin ◽

Self Consistent

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Self-Consistent Spin-Wave Approach to Quantum Spin Systems

Journal of the Physical Society of Japan ◽

10.1143/jpsj.61.2909 ◽

1992 ◽

Vol 61 (8) ◽

pp. 2909-2915 ◽

Cited By ~ 12

Author(s):

Tosizumu Aoki

Keyword(s):

Spin Wave ◽

Quantum Spin ◽

Spin Systems ◽

Quantum Spin Systems ◽

Wave Approach ◽

Self Consistent

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Self-consistent fluctuation theory for classical spin systems on 3D lattices

Journal of Magnetism and Magnetic Materials ◽

10.1016/0304-8853(92)90803-v ◽

1992 ◽

Vol 104-107 ◽

pp. 291-293

Author(s):

D.A. Garanin ◽

V.S. Lutovinov

Keyword(s):

Spin Systems ◽

Fluctuation Theory ◽

Classical Spin ◽

Self Consistent

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Self-consistent Gaussian approximation for classical spin systems: Thermodynamics

Physical Review B ◽

10.1103/physrevb.53.11593 ◽

1996 ◽

Vol 53 (17) ◽

pp. 11593-11605 ◽

Cited By ~ 23

Author(s):

D. A. Garanin

Keyword(s):

Gaussian Approximation ◽

Spin Systems ◽

Classical Spin ◽

Self Consistent

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Some new soliton equations with self-consistent sources

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2010.08.014 ◽

2011 ◽

Vol 12 (2) ◽

pp. 895-901 ◽

Cited By ~ 4

Author(s):

Shoufeng Shen ◽

Yongyang Jin

Keyword(s):

Soliton Equations ◽

Self Consistent

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A hybrid type of soliton equations with self-consistent sources: KP and Toda cases

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.12.010 ◽

2011 ◽

Vol 376 (2) ◽

pp. 393-406 ◽

Cited By ~ 4

Author(s):

Hong-Yan Wang ◽

Xing-Biao Hu

Keyword(s):

Soliton Equations ◽

Hybrid Type ◽

Self Consistent

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The N-soliton solutions of some soliton equations with self-consistent sources

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(02)00636-7 ◽

2003 ◽

Vol 18 (1) ◽

pp. 31-43 ◽

Cited By ~ 58

Author(s):

Da-jun Zhang

Keyword(s):

Soliton Solutions ◽

Soliton Equations ◽

Self Consistent

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Solving soliton equations with self-consistent sources by method of variation of parameters

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.05.062 ◽

2010 ◽

Vol 217 (4) ◽

pp. 1445-1454 ◽

Cited By ~ 2

Author(s):

Hongxia Wu ◽

Xiaojun Liu ◽

Yehui Huang ◽

Yunbo Zeng

Keyword(s):

Soliton Equations ◽

Variation Of Parameters ◽

Self Consistent

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