4.3 Article

DYNAMICAL ANALYSIS OF LUMP SOLUTION FOR THE (2+1)-DIMENSIONAL ITO EQUATION

Journal

THERMAL SCIENCE
Volume 21, Issue 4, Pages 1673-1679

Publisher

VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI160812145T

Keywords

(2+1)-dimensional Ito equation; lump solution; dynamics analysis; Hirota bi-linear method

Categories

Funding

  1. Education Department of Hunan Province [17C1297]
  2. Jishou University laboratory open Foundation [JDLF2016026]

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Exact kinky breather-wave solution, periodic breather-wave solution, and some lump solutions to the (2+1)-dimensional Ito equation are obtained by using an extended homoclinic test technique and Hirota bi-linear method with a perturbation parameter u(0). Furthermore, a new non-linear phenomenon in the lump solution, is investigated and discussed. These interesting non-linear phenomena might provide us with useful information on the dynamics of higher-dimensional non-linear wave field.

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