Groups Analysis and Localized Solutions of the (2+1)-Dimensional Ito Equation

Xiao Rui Hu; Jun Chao Chen; Yong Chen

doi:10.1088/0256-307X/32/7/070201

Groups Analysis and Localized Solutions of the (2+1)-Dimensional Ito Equation

Xiao Rui Hu, Jun Chao Chen, Yong Chen

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

By means of the modified Clarkson and Kruskal (CK) direct method and the variable separation approach, we investigate the (2+1)-dimensional Ito equation which was constructed by Ito in 1980. The full symmetry group with the Kac-Moody-Virasoro algebra structure and the variable separation solutions are obtained. By selecting appropriate arbitrary functions, some special soliton excitations are shown graphically. The results presented here would be beneficial for understanding the (2+1)-dimensional Ito equation better.

Original language	English
Article number	070201
Journal	Chinese Physics Letters
Volume	32
Issue number	7
DOIs	https://doi.org/10.1088/0256-307X/32/7/070201
State	Published - 1 Jul 2015

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title = "Groups Analysis and Localized Solutions of the (2+1)-Dimensional Ito Equation",

abstract = "By means of the modified Clarkson and Kruskal (CK) direct method and the variable separation approach, we investigate the (2+1)-dimensional Ito equation which was constructed by Ito in 1980. The full symmetry group with the Kac-Moody-Virasoro algebra structure and the variable separation solutions are obtained. By selecting appropriate arbitrary functions, some special soliton excitations are shown graphically. The results presented here would be beneficial for understanding the (2+1)-dimensional Ito equation better.",

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AU - Chen, Jun Chao

AU - Chen, Yong

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Y1 - 2015/7/1

N2 - By means of the modified Clarkson and Kruskal (CK) direct method and the variable separation approach, we investigate the (2+1)-dimensional Ito equation which was constructed by Ito in 1980. The full symmetry group with the Kac-Moody-Virasoro algebra structure and the variable separation solutions are obtained. By selecting appropriate arbitrary functions, some special soliton excitations are shown graphically. The results presented here would be beneficial for understanding the (2+1)-dimensional Ito equation better.

AB - By means of the modified Clarkson and Kruskal (CK) direct method and the variable separation approach, we investigate the (2+1)-dimensional Ito equation which was constructed by Ito in 1980. The full symmetry group with the Kac-Moody-Virasoro algebra structure and the variable separation solutions are obtained. By selecting appropriate arbitrary functions, some special soliton excitations are shown graphically. The results presented here would be beneficial for understanding the (2+1)-dimensional Ito equation better.

UR - https://www.scopus.com/pages/publications/84935437571

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DO - 10.1088/0256-307X/32/7/070201

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VL - 32

JO - Chinese Physics Letters

JF - Chinese Physics Letters

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ER -

Groups Analysis and Localized Solutions of the (2+1)-Dimensional Ito Equation

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