Akademik Veri Yönetim Sistemi
PHYSICA SCRIPTA, cilt.99, ss.1-20, 2024 (SCI-Expanded)
KABUL EDİLDİ
In this article,
we investigate the (2+1)-dimensional dispersive long water wave equation and
the (1+1)-dimensional Phi-four equation, which describe the behavior of long gravity waves with small amplitudes, long wave propagation
in oceans and seas, coastal structures and harbor design, effects of wave
motion on sediment transport, quantum field theory, phase transitions of
matter, ferromagnetic systems, liquid-gas transitions, and the structure of
optical solitons. We use the first integral technique and obtain new and
generic solutions for the models under consideration. By setting definite
values for the associated parameters, various types of richly structured
solitons are generated. The solitons include kink, flat kink, bell-shaped,
anti-bell-shaped, and singular kink formations. These solutions allow for a
profound understanding of the behavior and properties of the phenomena,
offering new insights and potential applications in the associated field. The
first integral technique is simpler, directly integrates the models, and the
solutions offer clear insights into the underlying phenomena without requiring
intermediate steps, making it widely applicable to various other models,
including nonlinear equations and those that are challenging to solve using
other standard techniques.