Lump and lump-soliton solutions to the (2 + 1)-dimensional Ito equation

Lump and lump-soliton solutions to the (2 + 1)-dimensional Ito equation
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(2 1) 维 Ito 方程的集总解和集总孤子解

DOI:
10.1007/s13324-017-0181-9
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期刊:
Anal.Math.Phys.
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通讯作者:
wx ma
wx ma
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其他
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wx ma

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基于一维Ito方程的Hirota双线性形式,通过Maple分析和符号计算,得到了一类集块解和两类集块与线孤子的相互作用解.解析性自然是保证所提出的块和相互作用的解决方案,和相互作用的解决方案减少到块(或线孤子),而双曲余弦(或二次函数)消失。三维图和等高线图的两个具体的例子所产生的相互作用的解决方案。
Based on the Hirota bilinear form of the-dimensional Ito equation, one class of lump solutions and two classes of interaction solutions between lumps and line solitons are generated through analysis and symbolic computations with Maple. Analyticity is naturally guaranteed for the presented lump and interaction solutions, and the interaction solutions reduce to lumps (or line solitons) while the hyperbolic-cosine (or the quadratic function) disappears. Three-dimensional plots and contour plots are made for two specific examples of the resulting interaction solutions.