Lie symmetry analysis and invariant solutions for the (3+1)-dimensional Virasoro integrable model

doi:10.1088/1674-1056/ac9de6

中国物理B ›› 2023, Vol. 32 ›› Issue (4): 40503-040503.doi: 10.1088/1674-1056/ac9de6

Lie symmetry analysis and invariant solutions for the (3+1)-dimensional Virasoro integrable model

Hengchun Hu(胡恒春)^† and Yaqi Li(李雅琦)

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

收稿日期:2022-09-18 修回日期:2022-10-13 接受日期:2022-10-27 出版日期:2023-03-10 发布日期:2023-03-23
通讯作者: Hengchun Hu E-mail:hhengchun@163.com

Lie symmetry analysis and invariant solutions for the (3+1)-dimensional Virasoro integrable model

Hengchun Hu(胡恒春)^† and Yaqi Li(李雅琦)

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2022-09-18 Revised:2022-10-13 Accepted:2022-10-27 Online:2023-03-10 Published:2023-03-23
Contact: Hengchun Hu E-mail:hhengchun@163.com

摘要/Abstract

摘要： Lie symmetry analysis is applied to a (3+1)-dimensional Virasoro integrable model and the corresponding similarity reduction equations are obtained with the different infinitesimal generators. Invariant solutions with arbitrary functions for the (3+1)-dimensional Virasoro integrable model, including the interaction solution between a kink and a soliton, the lump-type solution and periodic solutions, have been studied analytically and graphically.

关键词: (3+1)-dimensional Virasoro integrable model, Lie symmetry, invariant solutions

Abstract: Lie symmetry analysis is applied to a (3+1)-dimensional Virasoro integrable model and the corresponding similarity reduction equations are obtained with the different infinitesimal generators. Invariant solutions with arbitrary functions for the (3+1)-dimensional Virasoro integrable model, including the interaction solution between a kink and a soliton, the lump-type solution and periodic solutions, have been studied analytically and graphically.

Key words: (3+1)-dimensional Virasoro integrable model, Lie symmetry, invariant solutions

中图分类号: (Solitons)

05.45.Yv

02.30.Ik (Integrable systems)

Hengchun Hu(胡恒春) and Yaqi Li(李雅琦). Lie symmetry analysis and invariant solutions for the (3+1)-dimensional Virasoro integrable model[J]. 中国物理B, 2023, 32(4): 40503-040503.

Hengchun Hu(胡恒春) and Yaqi Li(李雅琦). Lie symmetry analysis and invariant solutions for the (3+1)-dimensional Virasoro integrable model[J]. Chin. Phys. B, 2023, 32(4): 40503-040503.

[1]	孙毅, 陈本永, 傅景礼. Lie symmetry theorem of fractional nonholonomic systems[J]. , 2014, 23(11): 110201-110201.
[2]	陈爱永, 章丽娜, 温双全. Lie symmetries and exact solutions for a short-wave model[J]. 中国物理B, 2013, 22(4): 40510-040510.
[3]	王肖肖, 韩月林, 张美玲, 贾利群. Lie symmetry and its generation of conserved quantity of Appell equation in a dynamical system of the relative motion with Chetaev-type nonholonomic constraints[J]. 中国物理B, 2013, 22(2): 20201-020201.
[4]	方建会,张斌,张伟伟,徐瑞莉. Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system[J]. 中国物理B, 2012, 21(5): 50202-050202.
[5]	施沈阳, 傅景礼. Lie symmetry and Mei conservation law of continuum system[J]. 中国物理B, 2011, 20(2): 21101-021101.
[6]	张美玲, 孙现亭, 王肖肖, 解银丽, 贾利群. Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion[J]. 中国物理B, 2011, 20(11): 110202-110202.
[7]	解银丽, 贾利群, 罗绍凯. Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion[J]. 中国物理B, 2011, 20(1): 10203-010203.
[8]	方建会. A new type of conserved quantity of Lie symmetry for the Lagrange system[J]. 中国物理B, 2010, 19(4): 40301-040301.
[9]	赵丽, 傅景礼, 陈本永. Lie symmetries and conserved quantities for a two-dimensional nonlinear diffusion equation of concentration[J]. 中国物理B, 2010, 19(1): 10301-010301.
[10]	吕洪升, 张宏彬, 顾书龙. Hojman's theorem of the third-order ordinary differential equation[J]. 中国物理B, 2009, 18(8): 3135-3138.
[11]	丁宁, 方建会, 陈相霞. Perturbation to Lie symmetry and another type of Hojman adiabatic invariants for Birkhoffian systems[J]. 中国物理B, 2008, 17(6): 1967-1971.
[12]	施沈阳, 黄晓虹. Noether symmetry and Lie symmetry of discrete holonomic systems with dependent coordinates[J]. 中国物理B, 2008, 17(5): 1554-1559.
[13]	施沈阳, 傅景礼, 黄晓虹, 陈立群, 张晓波. The Lie symmetries and Noether conserved quantities of discrete mechanical systems with variable mass[J]. 中国物理B, 2008, 17(3): 754-758.
[14]	施沈阳, 傅景礼, 陈立群. The Lie symmetries and Noether conserved quantities of discrete non-conservative mechanical systems[J]. 中国物理B, 2008, 17(2): 385-389.
[15]	蔺鹏, 方建会, 庞婷. Lie symmetry and Hojman conserved quantity of Nambu system[J]. 中国物理B, 2008, 17(12): 4361-4364.

Lie symmetry analysis and invariant solutions for the (3+1)-dimensional Virasoro integrable model

Lie symmetry analysis and invariant solutions for the (3+1)-dimensional Virasoro integrable model

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0