Soliton solutions to a nonlinear wave equation via modern methods

• DOI: 10.1007/s43994-024-00137-x
• Publication Date: 2024-03-27T07:02:20Z
• Authors: Shuvo Sarker; Rezaul Karim; M. Ali Akbar; M. S. Osman; Pinakee Dey
• Keywords: Kadomtsev–Petviashvili equation; Physics; Statistical and Nonlinear Physics; Quantum mechanics; 01 natural sciences; Physics and Astronomy; Burgers' equation; Discrete Solitons in Nonlinear Photonic Systems; Soliton; Physical Sciences; 0103 physical sciences; FOS: Mathematics; Nonlinear system; Global Well-Posedness of Nonlinear Wave Equations; Mathematical Physics; Mathematics; Rogue Waves in Nonlinear Systems

Abstract In this pioneering study, we have systematically derived traveling wave solutions for the highly intricate Zoomeron equation, employing well-established mathematical frameworks, notably modified (G′/G)-expansion technique. Twenty distinct been revealed, each distinguished by distinguishable characteristics in domains of hyperbolic, trigonometric, and irrational expressions. Furthermore, used formidable computational capabilities Maple software to construct depictions these solutions, both two-dimensional three-dimensional visualizations. The visual representations vividly capture essence our findings, showcasing a diverse spectrum profiles, including kink-type shape, soliton bell-shaped waveforms, periodic all which are clarified with careful precision.