Diversity of interaction solutions to the (2+1)-dimensional Ito equation

We aim to show the diversity of interaction solutions to the (2+1)-dimensional Ito equation, based on its Hirota bilinear form. The proof is given through Maple symbolic computations. An interesting characteristic in the resulting interaction solutions is the involvement of an arbitrary function. Sp...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 75; no. 1; pp. 289 - 295
Main Authors Ma, Wen-Xiu, Yong, Xuelin, Zhang, Hai-Qiang
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.01.2018
Elsevier BV
Subjects
Applied mathematics
Hirota bilinear form
Kinks
Lumps
Mathematical functions
Solitons
Solutions
Lumps
Kinks
Hirota bilinear form
Solitons
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Summary:We aim to show the diversity of interaction solutions to the (2+1)-dimensional Ito equation, based on its Hirota bilinear form. The proof is given through Maple symbolic computations. An interesting characteristic in the resulting interaction solutions is the involvement of an arbitrary function. Special cases lead to lump solutions, lump-soliton solutions and lump-kink solutions. Two illustrative examples of the resulting solutions are displayed by three-dimensional plots and contour plots.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2017.09.013