New foldons and their elastic interactions in the (2+1)-dimensional modified Veselov-Novikov system

Shen Shou-Feng; Zhang Jun

doi:10.7498/aps.55.1548

Abstract
By using Mathematica and multi-linear variable separation(MLVS) approach which is based on the Bcklund transformations, a new exact solution which include low dimensional arbitrary functions of the (2+1)-dimensional modified Veselov-Novikov system is obtained. Two new foldons are constructed and their entirely elastic interactions are considered. In additon, foldon and ghoston interactions are derived. MLVS approach is also extended to solve a new (1+1)-dimensional nonlinear system.

Keywords:
modified Veselov-Novikov system /

foldon /

elastic interaction /

variable separation
Authors and contacts
Shen Shou-Feng,

Zhang Jun

1.
浙江工业大学数学系，杭州 310014
References

Cited By

[1]	Liang Yan-Mei, Lu Bo, Gu Hua-Guang. Analysis to dynamics of complex electrical activities in Wilson model of brain neocortical neuron using fast-slow variable dissection with two slow variables. Acta Physica Sinica, 2022, 71(23): 230502. doi: 10.7498/aps.71.20221416
[2]	Song Wen-Hua, Wang Ning, Gao Da-Zhi, Wang Hao-Zhong, Qu Ke. Concept of waveguide invariant spectrum and algorithm for its extraction. Acta Physica Sinica, 2017, 66(11): 114301. doi: 10.7498/aps.66.114301
[3]	Xia Zhi, Li Xiu-Kun. Separation of elasto acoustic scattering of underwater target. Acta Physica Sinica, 2015, 64(9): 094302. doi: 10.7498/aps.64.094302
[4]	Li Bang-Qing, Ma Yu-Lan, Wang Cong, Xu Mei-Ping, Li Yang. Folded soliton with periodic vibration for a nonlinear coupled Schrödinger system. Acta Physica Sinica, 2011, 60(6): 060203. doi: 10.7498/aps.60.060203
[5]	Shi Lan-Fang, Zhou Xian-Chun, Mo Jia-Qi. Asymptotic solution for fractal soliton of disturbed Nizhnik-Novikov-Veselov system. Acta Physica Sinica, 2011, 60(11): 110205. doi: 10.7498/aps.60.110205
[6]	Li Jian-Fen, Li Nong, Chen Chang-Xing. Modification of projective synchronization for a class of fractional order chaotic system by using a single driving variable. Acta Physica Sinica, 2010, 59(11): 7644-7649. doi: 10.7498/aps.59.7644
[7]	Mo Jia-Qi, Chen Xian-Feng. Approximate analytic solution of solitary wave for a class of nonlinear disturbed Nizhnik-Novikov-Veselov system. Acta Physica Sinica, 2010, 59(5): 2919-2923. doi: 10.7498/aps.59.2919
[8]	Li Bang-Qing, Ma Yu-Lan. (G′/G)-expansion method and new exact solutions for (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov system. Acta Physica Sinica, 2009, 58(7): 4373-4378. doi: 10.7498/aps.58.4373
[9]	Shi De-Heng, Liu Yu-Fang, Sun Jin-Feng, Zhang Jin-Ping, Zhu Zun-Lüe. Elastic collisions between O and D atoms at low temperature and accurate analytic potential energy function and molecular constants of the OD（X2Π） radical. Acta Physica Sinica, 2009, 58(4): 2369-2375. doi: 10.7498/aps.58.2369
[10]	Shi De-Heng, Zhang Jin-Ping, Sun Jin-Feng, Liu Yu-Fang, Zhu Zun-Lüe. Elastic collision between S and D atoms at low temperatures and accurate analytic interaction potential and molecular constants of the SD(X2Π) radical. Acta Physica Sinica, 2009, 58(11): 7646-7653. doi: 10.7498/aps.58.7646
[11]	Chen Li, Cheng Yu-Min. Reproducing kernel particle method with complex variables for elasticity. Acta Physica Sinica, 2008, 57(1): 1-10. doi: 10.7498/aps.57.1
[12]	. New mapping solutions and localized structures for the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov system. Acta Physica Sinica, 2007, 56(12): 6784-6790. doi: 10.7498/aps.56.6784
[13]	Huang Lei, Sun Jian-An, Dou Fu-Quan, Duan Wen-Shan, Liu Xing-Xia. New variable separation solutions, localized structures and fractals in the (3+1)-dimensional nonlinear Burgers system. Acta Physica Sinica, 2007, 56(2): 611-619. doi: 10.7498/aps.56.611
[14]	Zhu Hai-Ping, Zheng Chun-Long. New exact solutions and complex wave excitations in (2+1)-dimensional generalized Nozhnik-Novikov-Veselov system. Acta Physica Sinica, 2006, 55(10): 4999-5006. doi: 10.7498/aps.55.4999
[15]	Shen Shou-Feng. General multi-linear variable separation approach to solving low dimensional nonlinear systems and localized exitations. Acta Physica Sinica, 2006, 55(3): 1011-1015. doi: 10.7498/aps.55.1011
[16]	Shen Shou-Feng. Virasoro symmetry subalgebra, multi-linear variable separation solutions and localized excitations of higher-dimensional differential-difference models. Acta Physica Sinica, 2006, 55(11): 5606-5610. doi: 10.7498/aps.55.5606
[17]	Shen Shou-Feng. Variable separation solution and soliton excitations of the (1+1)-dimensional generalised shallow water wave equation. Acta Physica Sinica, 2006, 55(3): 1016-1022. doi: 10.7498/aps.55.1016
[18]	Cheng Yu-Min, Li Jiu-Hong. A meshless method with complex variables for elasticity. Acta Physica Sinica, 2005, 54(10): 4463-4471. doi: 10.7498/aps.54.4463
[19]	Fang Jian-Ping, Zheng Chun-Long, Zhu Jia-Min. New variable separation excitations, rectangle-like solitons and fractal solitons in the Boiti-Leon-Pempinelli system. Acta Physica Sinica, 2005, 54(7): 2990-2995. doi: 10.7498/aps.54.2990
[20]	Li De-Sheng, Zhang Hong-Qing. A notes on the variable separation approach. Acta Physica Sinica, 2004, 53(6): 1639-1642. doi: 10.7498/aps.53.1639

Catalog

Vol. 55, Issue 4 - 2006-02-20

Metrics

Abstract views: 7578
PDF Downloads: 1790
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

New foldons and their elastic interactions in the (2+1)-dimensional modified Veselov-Novikov system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

New foldons and their elastic interactions in the (2+1)-dimensional modified Veselov-Novikov system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About