An attempt to give exact solitary and periodic wave polynomial solutions to the nonlinear Klein–Gordon–Schrödinger equations

Yumak, A.; Boubaker, K.; Petkova, P.

doi:10.1016/j.chaos.2015.09.031

Cited by 3 publications

(1 citation statement)

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“…Many authors examined the behavior of solutions by employing numerical and analytical techniques. Solitary wave solutions are studied in [20], the behavior of the equations is evaluated by a modified decomposition method in [25], Biswas and Triki [26] scrutinize the KGS model alongside power law nonlinearity to attain the solution in the form of solitons, the Chebyshev pseudo spectral multidomain strategy was taken into consideration for the mathematical solution of the given system in [27], Yumak et al analyzed the exact periodic and solitary wave polynomial solutions of nonlinear KGS equations in [28], a high-order compact finite difference technique is examined for a governing model in [29]. In addition, various techniques are applied in [30,31].…”

Section: Introductionmentioning

confidence: 99%

New and More Solitary Wave Solutions for the Klein-Gordon-Schrödinger Model Arising in Nucleon-Meson Interaction

Raza

Arshed

Butt³

et al. 2021

Front. Phys.

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This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled through the Yukawa interaction. Three state of the art integration schemes, namely, the e−Φ(ξ)-expansion method, Kudryashov's method, and the tanh-coth expansion method are employed to extract bright soliton, dark soliton, periodic soliton, combo soliton, kink soliton, and singular soliton solutions. All the constructed solutions satisfy their existence criteria. It is shown that these methods are concise, straightforward, promising, and reliable mathematical tools to untangle the physical features of mathematical physics equations.

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