Abundant periodic wave solutions for fifth-order Sawada-Kotera equations
Muhammad Tahir, Aziz Ullah Awan, M.S. Osman, Dumitru Bǎleanu, Maysaa Al-Qurashi
Abstract
In this manuscript, two nonlinear fifth-order partial differential equations, namely, the bidirectional and 2D- Sawada-Kotera equations are analytically treated using an extended form of homoclinic process. In the presence of a bilinear form, novel periodic waves with different categories including periodic soliton, solitary and kinky solitary wave solutions are constructed. In the meantime, The diverse features and mechanical qualities of these acquired solutions are elucidated by 3D figures and some contour plots.
Topics & Concepts
Homoclinic orbitBilinear interpolationSolitonOrder (exchange)Periodic waveNonlinear systemPartial differential equationMathematical analysisMathematicsTraveling wavePhysicsClassical mechanicsBifurcationStatisticsQuantum mechanicsFinanceEconomicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies