EMERGENCE OF LOGARITHMIC NONLINEAR WAVES IN A LIOUVILLE MODEL: AN EXACT ANALYTICAL STUDY
Tenth International Conference on Computational Mathematics and Engineering Sciences (CMES-2026), İstanbul, Türkiye, 24 - 26 Nisan 2026, ss.48, (Özet Bildiri)
- Yayın Türü: Bildiri / Özet Bildiri
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.48
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
In this work, the Painleve property, the traveling wave transformation, and the φ6-model
expansion method are used to construct exact analytical solutions of a Liouville-type
nonlinear evolution equation. An extended algebraic framework is used to solve the ordinary
differential equation that results from the reduction of the governing partial differential
equation using a suitable traveling wave transformation. The logarithmic expressions of the
obtained solutions result in a variety of nonlinear wave structure families, such as singular
wave profiles, periodic waves, and solitary waves. To demonstrate the dynamical behavior of
the model, the impact of physical parameters on the propagation properties of the solutions is
examined. The outcomes show that the chosen approach offers a methodical and effective
way to obtain exact solutions for nonlinear equations with exponential nonlinearities. These
results advance our theoretical knowledge of nonlinear. These findings contribute to the
theoretical understanding of nonlinear wave propagation and may be useful in applications
related to fluid dynamics, plasma physics, and other areas of applied science where Liouvilletype
models arise.