Dynamical forms of breathers, rogue waves, lump and their interactions for Schrödinger–Hirota equation

摘要

Abstract This article retrieves diverse forms of localized solutions including lump, lump one-strip, lump two-strip solutions for Schrödinger–Hirota equation with Kerr law nonlinearity through appropriate transformations technique. The proposed model applied in trans-continental and trans-oceanic distances in optical fibers. We compute lump solutions by choosing suitable polynomial function. Under various parameter framework, this lump solution have two forms of multiple-lump waves, particularly, one, and 2-lump waves. Mixed solutions with lump waves and solitons are also evaluated. In addition, we compute Akhmediev breather, generalized breathers and standard rogue wave solutions by using logarithmic transformation. Interaction behaviors are observed and we have also constitute few 3D and contour profiles for new solutions. Furthermore, we evaluate multi-wave soliton solutions for stated model via three wave transformation and logarithmic transformation.