Based on the Hirota bilinear form of the (2 + 1)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 hyperboliccosine (or the quadratic function) disappears. Threedimensional plots and contour plots are made for two specific examples of the resulting interaction solutions.
Lump and lumpsoliton solutions to the (2+1)dimensional Ito equation
Based on the Hirota bilinear form of the (2+1)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 hyperboliccosine (or the quadratic function) disappears. Threedimensional plots and contour plots are made for two specific examples of the resulting interaction solutions.
 Award ID(s):
 1664561
 Publication Date:
 NSFPAR ID:
 10079094
 Journal Name:
 Analysis and mathematical physics
 Volume:
 8
 Issue:
 3
 Page Range or eLocationID:
 427436
 ISSN:
 16642368
 Sponsoring Org:
 National Science Foundation
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