Kink and breather waves with and without singular solutions to the Zoomeron model

Abstract

The Zoomeron model is applied to various types of solitons arising in fluid mechanics, laser optics, and nonlinear physics. We derive analytical solutions to the mentioned model using the exp(−λ(ς))-expansion, the generalized Kudryashov, and the generalized tanh schemes. We obtain the kink waves, breather waves, bright soliton, and dark soliton of this model via symbolic computation. We also get both singular kink waves and singular breather waves. The dynamics of the adopted results are shown in density and 3D graphics. The obtained outcomes will play a vital role in further studies of complicated nonlinear models.

Keywords

• Generalized Kudryashov method
• exp(-λ(ς))-expansion method
• Generalized tanh method
• Zoomeron model
• Kink wave
• Breather wave