Novel Interaction Phenomena of Localised Waves in the (2 + 1)-Dimensional HSI Equation

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Abstract

Localised interaction solutions of the (2+1)-dimensional generalised Hirota-Satsuma-Ito equation are studied. Using the Hirota bilinear form and Maple symbolic computations, we generate three classes of lump solutions. Specific sets of parameters are chosen to show the dynamic characteristics and evolution of lump and interaction solutions and their energy distribution.

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(2+1)-dimensional generalised Hirota-Satsuma-Ito equation lump solution interaction solution Hirota’s bilinear method.
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DOI

10.4208/eajam.090819.071219