Muhammad Aamir AshrafFA19-RMT-092LHR TP 7421Dr. Sarfraz Ahmad2026-03-162021https://repository.cuilahore.edu.pk/handle/123456789/2855A solitary wave is a localised “wave of transcription” that appears from a balance between dispersive and nonlinear effects. A soliton is a specific type of solitary wave, since it maintains its original shape and speed when collides with other solitons. Nonlinear evolution equations (NLEEs) are the main classification of soliton solutions. In this work, our purpose is to attain lump, lump with one and two-kink soliton, periodic– waves, rogue–waves solution for various forms of NLEEs. We’ll also obtain M-shaped rational soliton, M-shaped interactions with kink and periodic waves, periodic-cross kink solutions, homoclinic breather and multi–wave solutions. In this thesis, we’ll study various forms of NLEEs to attained these types of solutions by the combinations of bilinear, hyperbolic, trigonometric, exponential, and hyperbolic functions. We also seen the degenerations of hybrid waves, through some fittingly bilinear forms and also discussed graphical behavior of our system.enDr. Sarfraz AhmadFa19MATHEMATICSDepartment of MathematicsLump solitonsMultiple Lump solitonsRogue–wavesBreather solutionsNonlinear evolution equations.Thesis