An investigation of the physical dynamics of a traveling wave solution called a bright soliton
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DOI: 10.1088/1402-4896/ac37a1
Abstract: This study examines the 1+2 -dimensional Zoomeron equation, which has recently become popular in applied mathematics and physics. Bright soliton (non-topological), kink wave solution and traveling wave solutions are generated with the advantages of the… read more here.
Keywords: zoomeron equation; wave solution; bright soliton; traveling wave ... See more keywords
Nonlinear Stability of the Periodic Traveling Wave Solution for a Class of Coupled KdV Equations
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DOI: 10.1155/2020/3875038
Abstract: In this paper, by applying the Jacobian ellipse function method, we obtain a group of periodic traveling wave solution of coupled KdV equations. Furthermore, by the implicit function theorem, the relation between some wave velocity… read more here.
Keywords: wave solution; coupled kdv; kdv equations; solution ... See more keywords
Perturbative Traveling-Wave Solution for a Flux-Limited Reaction-Diffusion Morphogenesis Equation
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DOI: 10.3938/jkps.76.323
Abstract: In this study, we investigate a porous medium-type flux-limited reaction—diffusion equation that arises in morphogenesis modeling. This nonlinear partial differential equation is an extension of the generalized Fisher—Kolmogorov—Petrovsky—Piskunov (Fisher-KPP) equation in one-dimensional space. The approximate… read more here.
Keywords: limited reaction; wave solution; flux limited; reaction diffusion ... See more keywords