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(2+1)维NNV方程的周期孤立波解和双周期孤立波解

Periodic-soliton wave solutions and double periodic-soliton wave solutions for (2+1)-dimensional NNV equation
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摘要 扩展了Hirota法,即将Hirota法中的测试函数用新的测试函数来替代,并利用扩展了的方法来构造(2+1)维Nizhnik-Novikov-Veselov方程的周期孤子解和双周期孤子解.显然扩展的Hirota方法也可以解其他一些非线性发展方程. Hirota method proposed recently is extended to construct more exact solutions of nonlinear evolution equa- tions. To be more precise, new text function is used instead of text function in Hirota method. By using the extended Hirota method, (2+1 )-dimensional Nizhnik- Novikov- Veselov equation is solved an abundance of exact periodic soliton wave so- lutions and double periodic soliton wave solutions. Obviously, the extended Hirota method can be applied to solve some oth- er nonlinear evolution equations as well.
出处 《周口师范学院学报》 CAS 2016年第5期39-43,共5页 Journal of Zhoukou Normal University
基金 国家自然科学基金资助项目(No.11061028)
关键词 (2+1)维Nizhnik-Novikov-Veselov方程 HIROTA方法 周期孤子解 双周期孤子解 (2+ 1)- dimensional Nizhnik - Novikov - Veselov equation Hirota method periodic - soliton wave solu- tions double periodic - soliton wave solutions
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