Localized characteristics of lump and interaction solutions to two extended Jimbo-Miwa equations

We focus on the localized characteristics of lump and interaction solutions to two extended Jimbo-Miwa equations. Based on the Hirota bilinear method and the test function method, we construct the exact solutions to the extended equations including lump solutions, lump-kink solutions, and two other types of interaction solutions, by solving the under-determined nonlinear system of algebraic equations for associated parameters. Finally, analysis and graphical simulation are presented to show the dynamical characteristics of our solutions and the interaction behaviors are revealed.