Ishimori-I equation with self-consistent sources

Juan Hu; Xing-Biao Hu; Hon-Wah Tam

doi:10.1063/1.3127482

Ishimori-I equation with self-consistent sources

Juan Hu^*, Xing-Biao Hu, Hon-Wah Tam

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

4 Citations (Scopus)

27 Downloads (Pure)

Abstract

In this paper, Grammian solutions of the Ishimori-I (Ish-I) equation are first obtained by Hirota's direct method. Utilizing the source generation procedure, this equation with self-consistent sources is then presented and the corresponding Grammian solutions are derived. Finally, as a simple case, the (1,1) dromion solution is examined.

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Juan Hu, Xing-Biao Hu, Hon-Wah Tam; Ishimori-I equation with self-consistent sources. J. Math. Phys. 1 May 2009; 50 (5): 053510. https://doi.org/10.1063/1.3127482 and may be found at https://pubs.aip.org/aip/cha/article/19/1/015117/905678/Graph-analysis-of-cortical-networks-reveals.

Original language	English
Article number	053510
Number of pages	16
Journal	Journal of Mathematical Physics
Volume	50
Issue number	5
DOIs	https://doi.org/10.1063/1.3127482
Publication status	Published - May 2009

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Ishimori-I equation with self-consistent sources",

abstract = "In this paper, Grammian solutions of the Ishimori-I (Ish-I) equation are first obtained by Hirota's direct method. Utilizing the source generation procedure, this equation with self-consistent sources is then presented and the corresponding Grammian solutions are derived. Finally, as a simple case, the (1,1) dromion solution is examined.This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Juan Hu, Xing-Biao Hu, Hon-Wah Tam; Ishimori-I equation with self-consistent sources. J. Math. Phys. 1 May 2009; 50 (5): 053510. https://doi.org/10.1063/1.3127482 and may be found at https://pubs.aip.org/aip/cha/article/19/1/015117/905678/Graph-analysis-of-cortical-networks-reveals.",

author = "Juan Hu and Xing-Biao Hu and Hon-Wah Tam",

note = "Funding Information: The authors would like to express their thanks to the referees for their valuable comments and Jonathan Nimmo for providing Eqs. and one variant of Jacobi determinantal identity, which greatly improved the presentation of an earlier version of this paper. This work was partially supported by the National Natural Science Foundation of China (Grant No. 10771207), the Knowledge Innovation Program of the Institute of Computational Mathematics, AMSS, and Hong Kong Baptist University Grant No. FRG/07-08/I-54.",

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N1 - Funding Information: The authors would like to express their thanks to the referees for their valuable comments and Jonathan Nimmo for providing Eqs. and one variant of Jacobi determinantal identity, which greatly improved the presentation of an earlier version of this paper. This work was partially supported by the National Natural Science Foundation of China (Grant No. 10771207), the Knowledge Innovation Program of the Institute of Computational Mathematics, AMSS, and Hong Kong Baptist University Grant No. FRG/07-08/I-54.

PY - 2009/5

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N2 - In this paper, Grammian solutions of the Ishimori-I (Ish-I) equation are first obtained by Hirota's direct method. Utilizing the source generation procedure, this equation with self-consistent sources is then presented and the corresponding Grammian solutions are derived. Finally, as a simple case, the (1,1) dromion solution is examined.This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Juan Hu, Xing-Biao Hu, Hon-Wah Tam; Ishimori-I equation with self-consistent sources. J. Math. Phys. 1 May 2009; 50 (5): 053510. https://doi.org/10.1063/1.3127482 and may be found at https://pubs.aip.org/aip/cha/article/19/1/015117/905678/Graph-analysis-of-cortical-networks-reveals.

AB - In this paper, Grammian solutions of the Ishimori-I (Ish-I) equation are first obtained by Hirota's direct method. Utilizing the source generation procedure, this equation with self-consistent sources is then presented and the corresponding Grammian solutions are derived. Finally, as a simple case, the (1,1) dromion solution is examined.This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Juan Hu, Xing-Biao Hu, Hon-Wah Tam; Ishimori-I equation with self-consistent sources. J. Math. Phys. 1 May 2009; 50 (5): 053510. https://doi.org/10.1063/1.3127482 and may be found at https://pubs.aip.org/aip/cha/article/19/1/015117/905678/Graph-analysis-of-cortical-networks-reveals.

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VL - 50

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ER -

Ishimori-I equation with self-consistent sources

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