Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schordinger equation.

ABSTRACT: This article aims to study the time fractional coupled nonlinear Schrödinger equation, which explains the interaction between modes in nonlinear optics and Bose-Einstein condensation. The proposed generalized projective Riccati equation method and modified auxiliary equation method extract a more efficient and broad range of soliton solutions. These include novel solutions like a combined dark-lump wave soliton, multiple dark-lump wave soliton, two dark-kink solitons, flat kink-lump wave, multiple U-shaped with lump wave, combined bright-dark with high amplitude lump wave, bright-dark with lump wave and kink dark-periodic solitons are derived. The travelling wave patterns of the model are graphically presented with suitable parameters in 3D, density, contour and 2D surfaces, enhancing unde

SUBMITTER: Majid SZ 

PROVIDER: S-EPMC11356411 | biostudies-literature | 2024

REPOSITORIES: biostudies-literature