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Darboux Transformation and New Multi-Soliton Solutions of the Whitham-Broer-Kaup System 被引量:1

Darboux Transformation and New Multi-Soliton Solutions of the Whitham-Broer-Kaup System
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摘要 Through a variable transformation, the Whitham-Broer-Kaup system is transformed into a parameter Levi system. Based on the Lax pair of the parameter Levi system, the N-fold Darboux transformation with multi-parameters is constructed. Then some new explicit solutions for the Whitham-Broer-Kaup system are obtained via the given Darboux transformation. Through a variable transformation, the Whitham-Broer-Kaup system is transformed into a parameter Levi system. Based on the Lax pair of the parameter Levi system, the N-fold Darboux transformation with multi-parameters is constructed. Then some new explicit solutions for the Whitham-Broer-Kaup system are obtained via the given Darboux transformation.
作者 Tiantian Xu
机构地区 College of Science
出处 《Applied Mathematics》 2015年第1期20-27,共8页 应用数学(英文)
关键词 Whitham-Broer-Kaup Equation Levi Parameter System LAX PAIR DARBOUX TRANSFORMATION SOLITON Solutions Whitham-Broer-Kaup Equation Levi Parameter System Lax Pair Darboux Transformation Soliton Solutions
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