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Dynamics of two-mode Sawada-Kotera equation: Mathematical and graphical analysis of its dual-wave solutions

Dipankar Kumar, Choonkil Park, Nishat Tamanna, Gour Chandra Paul, M.S. Osman

2020Results in Physics79 citationsDOIOpen Access PDF

Abstract

New dual-wave soliton solutions are addressed for the two-mode Sawada-Kotera (TmSK) equation arising in fluids by the modified Kudryashov and new auxiliary equation methods. As outcomes, bright, dark, periodic, and singular-periodic dual-wave solutions are obtained. The graphs of the solutions are provided to show the impact of the parameters. A comparison between our solutions and the existing ones is carried out.

Topics & Concepts

Periodic waveDual (grammatical number)Dual modeSolitonMode (computer interface)Traveling wavePhysicsMathematicsApplied mathematicsMathematical analysisComputer scienceQuantum mechanicsNonlinear systemElectronic engineeringEngineeringOperating systemLiteratureArtNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies