Bifurcations and exact solutions of a new (3+1)-dimensional Kadomtsev-Petviashvili equation

Song, Yunjia; Yang, Ben; Wang, Z

doi:10.1016/j.physleta.2023.128647

Cited by 6 publications

(2 citation statements)

References 27 publications

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“…Bifurcation analysis [27][28][29][30] is a geometrically intuitive method to present exact traveling wave solutions. Under bifurcation theory, the types of orbits are highly tied to the sorts of solutions, which benefits us to classify solutions theoretically.…”

Section: Introductionmentioning

confidence: 99%

Exact solutions of a time-fractional modified KdV equation via bifurcation analysis

Liu 刘,

Xu 许,

Wang 王

2023

Chinese Phys. B

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The time-fractional modified KdV equation is committed to establish exact solutions by adopting bifurcation method. Firstly, the phase portraits and related qualitative analysis are comprehensively provided. Then, we point out parametric expressions of different types of solutions matching the corresponding orbits. Finally, solution profiles, 3D and density plots of some solutions are presented with suitable parametric choices.

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Section: Introductionmentioning

confidence: 99%

Exact solutions of a time-fractional modified KdV equation via bifurcation analysis

Liu 刘,

Xu 许,

Wang 王

2023

Chinese Phys. B

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“…For instance, Tang used the concept of planar dynamical system and studied bifurcations, phase portraits and soliton solutions of coupled Hirota-Schrodinger equation [25]. Song et al presented dynamical properties and soliton solutions of a Kadomtsev-Petviashvili equation [26]. The bifurcation, phase portraits, chaotic behaviour and soliton solutions of GerdjikovIvanov model has been reported in the literature [27].…”

Section: Introductionmentioning

confidence: 99%

Analysing the Landau-Ginzburg-Higgs equation in the light of superconductivity and drift cyclotron waves: Bifurcation, chaos and solitons

Ahmad,

Lou,

Khan

et al. 2023

Phys. Scr.

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The Landau-Ginzburg-Higgs (LGH) equation is a fundamental framework for examining physical systems in the fields of condensed matter physics and field theory. This study delves into the LGH equation, particularly in the context of its relevance to superconductivity and drift cyclotron waves. Researchers have extensively investigated the LGH equation to uncover a diverse array of exact solutions, employing various methodologies. This manuscript centers on the examination of its dynamic properties, encompassing the analysis of phenomena such as bifurcations, sensitivity, chaotic behavior, and the emergence of soliton solutions. To achieve this, we employ the principles of planar dynamical theory, shedding light on the intricate behaviors embedded within the LGH equation. Furthermore, we utilize the tools and techniques provided by planar dynamical theory to derive soliton solutions for the LGH equation.

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Bifurcations, chaotic behavior, sensitivity analysis and new optical solitons solutions of Sasa-Satsuma equation

Li,

Shi,

et al. 2024

Nonlinear Dyn

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Bifurcations and exact solutions of a new (3+1)-dimensional Kadomtsev-Petviashvili equation

Cited by 6 publications

References 27 publications

Exact solutions of a time-fractional modified KdV equation via bifurcation analysis

Exact solutions of a time-fractional modified KdV equation via bifurcation analysis

Analysing the Landau-Ginzburg-Higgs equation in the light of superconductivity and drift cyclotron waves: Bifurcation, chaos and solitons

Bifurcations, chaotic behavior, sensitivity analysis and new optical solitons solutions of Sasa-Satsuma equation

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