Formula omitted]-breather solutions, inelastic interactions of the lumps and resonant interactions of the breathers for a (2+1)-dimensional nonlinear evolution equation

Abstract

Studies are conducted on a (2+1)-dimensional nonlinear evolution equation. We investigate the inelastic interactions of the two/three/four lumps based on the M-lump solutions, where M is a positive integer. We observe the different patterns of inelastic interactions of the lumps. We construct the H-breather solutions and carry out the asymptotic analyses for two/three-breather solutions via the symbolic computation, where H is a positive integer. We demonstrate that the resonant interactions occur when the phase shifts of the two/three breathers approach the infinity. We graphically show the resonant interactions of the two/three breathers.