Traveling waves in a diffusive epidemic model with criss‐cross mechanism
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5559
Abstract: In this paper, we propose a reaction‐diffusion system to describe the spread of infectious diseases within two population groups by self and criss‐cross infection mechanism. Firstly, based on the eigenvalues, we give two methods for… read more here.
Keywords: traveling wave; wave solutions; traveling waves; criss cross ... See more keywords
On existence of kink and antikink wave solutions of singularly perturbed Gardner equation
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DOI: 10.1002/mma.6204
Abstract: In this paper, we study the existence of kink and antikink wave solutions of singularly perturbed Gardner equation from the geometric perspective. We obtain the sufficient conditions to guarantee the existence of kink and antikink… read more here.
Keywords: solutions singularly; wave solutions; antikink wave; existence kink ... See more keywords
Multiple rogue wave solutions and the linear superposition principle for a (3 + 1)‐dimensional Kadomtsev–Petviashvili–Boussinesq‐like equation arising in energy distributions
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7676
Abstract: The multiple exp‐function method and multiple rogue wave solutions method are employed for searching the multiple soliton solutions to the (3 + 1)‐dimensional Kadomtsev–Petviashvili–Boussinesq‐like (KP‐Boussinesq‐like) equation. The obtained solutions contain the first‐order, second‐order, third‐order, and fourth‐order wave… read more here.
Keywords: like equation; boussinesq like; order; wave solutions ... See more keywords
Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace
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DOI: 10.1007/s00006-019-0981-0
Abstract: In this paper, we obtain Cauchy-Kovalevskaya theorems for hypermonogenic superfunctions depending only on purely bosonic and fermionic vector variables. In addition, we use these results to construct plane wave examples of such functions. read more here.
Keywords: plane; plane wave; hypermonogenic plane; dirac equation ... See more keywords
On the Geophysical Green-Naghdi System
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DOI: 10.1007/s00332-021-09773-7
Abstract: In this paper, a modified Green-Naghdi system with the effect of the Coriolis force is derived, which is a model in the equatorial oceanography to describe the propagation of large amplitude surface waves. The effects… read more here.
Keywords: traveling wave; system; wave solutions; naghdi system ... See more keywords
Some Interesting Traveling Waves in a Transversely Isotropic Incompressible Hyperelastic Semi-infinite Rod
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mechanica Solida Sinica"
DOI: 10.1007/s10338-018-0030-x
Abstract: In this paper, the bounded traveling wave solutions are examined for a system of partial differential equations with certain boundary conditions. Interestingly, this system can be used to describe the axially symmetric motion of a… read more here.
Keywords: wave solutions; traveling waves; semi infinite; incompressible hyperelastic ... See more keywords
The Bifurcations and Exact Traveling Wave Solutions for a Nonlocal Hydrodynamic-Type System
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-020-09509-y
Abstract: A hydrodynamic-type system taking into account nonlocal effects is investigated. The exact traveling wave solutions including smooth solitary waves solutions, pseudo-peakons, periodic peakons, compactons, kink, and anti-kink wave solutions and so on are derived via… read more here.
Keywords: wave solutions; type system; exact traveling; hydrodynamic type ... See more keywords
Chaotic Traveling Wave Solutions in Coupled Chua’s Circuits
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DOI: 10.1007/s10884-017-9631-1
Abstract: Coupled arrays of Chua’s circuits have been studied for many years. The existence of traveling wave solutions for such system was shown numerically in Perez-Munuzuri et al. (Traveling wave front and its failure in a… read more here.
Keywords: system; wave solutions; solutions coupled; chaotic traveling ... See more keywords
Spreading Speeds and Traveling Wave Solutions for a Delayed Periodic Equation without Quasimonotonicity
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-018-9707-6
Abstract: This paper is concerned with the propagation theory of a delayed periodic equation without quasimonotonicity. Because of time delay, it does not generate a monotone semiflow. A threshold is obtained, which is the spreading speed… read more here.
Keywords: wave solutions; without quasimonotonicity; equation without; periodic equation ... See more keywords
Bäcklund transformation, multiple wave solutions and lump solutions to a (3 + 1)-dimensional nonlinear evolution equation
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DOI: 10.1007/s11071-017-3581-3
Abstract: In this paper, a $$(3+1)$$(3+1)-dimensional nonlinear evolution equation is cast into Hirota bilinear form with a dependent variable transformation. A bilinear Bäcklund transformation is then presented, which consists of six bilinear equations and involves nine… read more here.
Keywords: nonlinear evolution; wave solutions; transformation; dimensional nonlinear ... See more keywords
Rogue wave-type solutions of the mKdV equation and their relation to known NLSE rogue wave solutions
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DOI: 10.1007/s11071-017-3991-2
Abstract: We present the first four exact rational solutions of the set of rational solutions of the modified Korteweg–de Vries equation. These solutions can be considered as rogue waves of the corresponding equation. Comparison with rogue… read more here.
Keywords: rogue; wave solutions; type solutions; wave type ... See more keywords