Explicit lump and line rogue wave solutions to a modified Hietarinta equation

Abstract

Lump solutions are spatially rationally localized solutions which usually arise as solutions to higher dimensional nonlinear partial differential equations often possessing Hirota bilinear forms. Under some parameter constraint, these solutions may lead to rogue wave solutions. In this article, we study lump and rogue wave solutions of a new nonlinear non-evolutionary equation in 2+1 dimensions with the aid of a computer algebra system. We present illustrative examples and analyze the dynamical behavior of the solutions using graphical representations

14 pages, 20 figures, to be published as a book chapter in a Springer book titled "Mathematical Analysis and Computation - 1st SGMC, Statesboro, Georgia, U.S., April 2-3, 2021 (Virtual)"