Localized characteristics of lump and interaction solutions to two extended Jimbo–Miwa equations*
Yu-Hang Yin, Si‐Jia Chen, Xing Lü
Abstract
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.
Topics & Concepts
Nonlinear systemBilinear interpolationAlgebraic numberFocus (optics)Algebraic equationApplied mathematicsFunction (biology)Bilinear formMathematicsMathematical analysisPhysicsQuantum mechanicsOpticsBiologyEvolutionary biologyStatisticsNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions