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Medientyp:
E-Artikel
Titel:
Multi-Peak and Propagation Behavior of M-Shape Solitons in (2 + 1)-Dimensional Integrable Schwarz-Korteweg-de Vries Problem
Beteiligte:
Ahmed, Sarfaraz;
Seadawy, Aly R.;
Rizvi, Syed T. R.;
Raza, Umar
Erschienen:
MDPI AG, 2023
Erschienen in:Fractal and Fractional
Sprache:
Englisch
DOI:
10.3390/fractalfract7100709
ISSN:
2504-3110
Entstehung:
Anmerkungen:
Beschreibung:
<jats:p>This paper examines the propagation of M-shape solitons and their interactions with kink waves to the (2 + 1)-dimensional integrable Schwarz-Korteweg-de Vries (ISKdV) problem by applying the symbolic computation with ansatz functions technique and logarithmic transformation. The governing model usually appears in the nonlinear shallow water waves and fluid mechanics. We discuss various nonlinear waves like multiwave solutions (MSs), homoclinic breather (HB), M-shape solitons, single exponential form (one-kink), and double exponential form (two-kink). These waves have lot of applications in fluid dynamics, nonlinear optics, chemical reaction networks, biological systems, climate science, and material science. We also study interaction among M-shape solitons with kink wave. At the end, we discuss the stability characteristics of all solutions.</jats:p>