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Bell-like and peak-like loop solitons in (2+1)-dimensional Boiti-Leon-Pempinelli system

## Bell-like and peak-like loop solitons in (2+1)-dimensional Boiti-Leon-Pempinelli system

Chen Li-Qun, Fang Jian-Ping, Zheng Chun-Long
• #### Abstract

In this work, starting from a Painlev-Bcklund transformation and a multil inear variable separation approach, a general variable separation excitation of the three-dimensional Boiti-Leon-Pempinelli system is derived first. Then based on the derived excitation, we can construct many localized structures like pe akons and compactons etc. Meanwhile, two new types of solitary waves, i.e., a b ell-like loop soliton and a peak-like loop soliton are constructed and their e volution properties of the novel localized structures are briefly discussed.

• Funds:

#### Cited By

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•  Citation:
##### Metrics
• Abstract views:  2679
• Cited By: 0
##### Publishing process
• Received Date:  28 June 2004
• Accepted Date:  27 October 2004
• Published Online:  19 April 2005

## Bell-like and peak-like loop solitons in (2+1)-dimensional Boiti-Leon-Pempinelli system

• 1. (1)上海大学应用数学和力学研究所,上海 200072; (2)浙江丽水学院物理系,丽水 323000; (3)浙江丽水学院物理系,丽水 323000;上海大学应用数学和力学研究所,上海 200072

Abstract: In this work, starting from a Painlev-Bcklund transformation and a multil inear variable separation approach, a general variable separation excitation of the three-dimensional Boiti-Leon-Pempinelli system is derived first. Then based on the derived excitation, we can construct many localized structures like pe akons and compactons etc. Meanwhile, two new types of solitary waves, i.e., a b ell-like loop soliton and a peak-like loop soliton are constructed and their e volution properties of the novel localized structures are briefly discussed.

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