4.4 Article

Interaction Between Kink Solitary Wave and Rogue Wave for (2+1)-Dimensional Burgers Equation

Journal

MEDITERRANEAN JOURNAL OF MATHEMATICS
Volume 13, Issue 3, Pages 1087-1098

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s00009-015-0528-0

Keywords

(2+1)-dimensional Burgers equation; Hirota bilinear method; Kink wave; Rogue wave; interaction

Funding

  1. National Natural Science Foundation of China [11301235, 11261049, 11161025]
  2. Fund for Fostering Talents in Kunming University of Science and Technology [KKSY201403049, KKSY201307141]

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Based on a suitable ansatz approach and Hirota's bilinear form, kink solitary wave, rogue wave and mixed exponential-algebraic solitary wave solutions of (2+1)-dimensional Burgers equation are derived. The completely non-elastic interaction between kink solitary wave and rogue wave for the (2+1)-dimensional Burgers equation are presented. These results enrich the variety of the dynamics of higher dimensional nonlinear wave field.

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