Journal
STUDIES IN APPLIED MATHEMATICS
Volume 145, Issue 4, Pages 791-811Publisher
WILEY
DOI: 10.1111/sapm.12336
Keywords
Backlund transformation; breather; loop soliton; nonlinear superposition formula; short pulse equation
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Funding
- Natural Science Foundation of Guangxi zhuang autonomous region, China [2018GXNSFBA050020]
- China University of Mining & Technology, Beijing [00-800015Z1177]
- National Natural Science Foundation of China [11905110, 11871471, 11931017]
- Middle-aged and Young Teachers' Basic Ability Promotion Project of Guangxi [2019KY0417]
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A Backlund transformation (BT), which involves both independent and dependent variables, is established and studied for the short pulse (SP) equation. Based it, the nonlinear superposition formulae for 2-, 3-, and 4-BT are presented. The general result for the composition ofN-BTs is achieved and given in terms of determinants. As applications, various solutions including loop solitons, breather solutions, and their interaction solutions are worked out.
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