Volume 10, Issue 3
Novel Interaction Phenomena of Localised Waves in the (2 + 1)-Dimensional HSI Equation

Hong-Cai Ma, Han-Fang Wu & Ai-Ping Deng

East Asian J. Appl. Math., 10 (2020), pp. 485-498.

Published online: 2020-06

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  • Abstract

Localised interaction solutions of the (2+1)-dimensional generalised HirotaSatsuma-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.

  • Keywords

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

  • AMS Subject Headings

35Q51, 35Q53, 35C99, 68W30, 74J35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-10-485, author = {Hong-Cai Ma , and Han-Fang Wu , and Ai-Ping Deng , }, title = {Novel Interaction Phenomena of Localised Waves in the (2 + 1)-Dimensional HSI Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {3}, pages = {485--498}, abstract = {

Localised interaction solutions of the (2+1)-dimensional generalised HirotaSatsuma-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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.090819.071219}, url = {http://global-sci.org/intro/article_detail/eajam/16978.html} }
TY - JOUR T1 - Novel Interaction Phenomena of Localised Waves in the (2 + 1)-Dimensional HSI Equation AU - Hong-Cai Ma , AU - Han-Fang Wu , AU - Ai-Ping Deng , JO - East Asian Journal on Applied Mathematics VL - 3 SP - 485 EP - 498 PY - 2020 DA - 2020/06 SN - 10 DO - http://dor.org/10.4208/eajam.090819.071219 UR - https://global-sci.org/intro/article_detail/eajam/16978.html KW - (2+1)-dimensional generalised Hirota-Satsuma-Ito equation, lump solution, interaction solution, Hirota’s bilinear method. AB -

Localised interaction solutions of the (2+1)-dimensional generalised HirotaSatsuma-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.

Hong-Cai Ma, Han-Fang Wu & Ai-Ping Deng. (2020). Novel Interaction Phenomena of Localised Waves in the (2 + 1)-Dimensional HSI Equation. East Asian Journal on Applied Mathematics. 10 (3). 485-498. doi:10.4208/eajam.090819.071219
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