Unveiling parametric effects on optical solitons of the Phi-4 model in mathematical physics

Abstract

In the intricate realms of quantum field theory, cosmology, and condensed matter physics, the Phi-4 model emerges as a potent catalyst, shaping mathematical landscapes with profound implications. Our research has uncovered a set of soliton solutions that were previously unreported in the existing literature. This transformative journey has allowed us to unravel a rich tapestry of new insights in the field. Our findings will contribute significantly to advancing knowledge in this area of study. Through innovative analytical approaches, we breathe life into these solitons, delving into their dynamic behaviors and unveiling the nuanced influence of factors such as wave velocity (ω) and diverse free parameters. The elegance of our methodologies lies in their simplicity, offering accessible pathways for exploration. As we stand on the threshold of discovery, the solutions and intricate wave profiles we present broaden our current understanding and beckon further investigation, resonating with the Phi-4 model’s enduring melody that harmonizes across scientific frontiers.

Keywords

• The phi-4 model
• The sine-Gordon expansion method
• The unified method
• Solitary wave