Dynamics of novel exact soliton solutions of concatenation model using effective techniques

The exact soliton solutions of concatenated model are extracted in this research paper. Two exact methods, \(\exp (-s(\Lambda ))\) $exp(-s(\mathrm{\Lambda }))$ -expansion method and extended \((\frac{G'}{G^{2}})\) $(\frac{G^{\prime }}{G^2})$ -expansion method, are applied to extract soliton solution of concatenated model. The proposed model is concatenation of Lakshmanan-Porsezian-Daniel equation, Sasa-Satsuma equation and nonlinear Schrödinger’s equation. Many novel solutions of concatenated model such as periodic wave, bright soliton, bright-dark soliton, dark soliton, kink soliton and many other singular soliton solutions are retrieved using proposed methods. The retrieved soliton solutions play a significant role in nonlinear physics, optical fibers and quantum mechanics. In order to display the retrieved soliton solutions graphically, 2D line graphs, contour graphs and 3D graphs have been utilized.