Localized Wave and Other Special Wave Solutions to the (3 + 1)‐dimensional Kudryashov–Sinelshchikov Equation
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10764
Abstract: This paper aims to explore some different localized wave solutions to the (3 + 1)‐dimensional Kudryashov–Sinelshchikov equation (KSe) for the liquid with gas bubbles. First, the traveling wave transformation is employed to reduce the dimension of the… read more here.
Keywords: solutions dimensional; wave solutions; localized wave; dimensional kudryashov ... See more keywords
On the Solutions of a $$2+1$$2+1-Dimensional Model for Epitaxial Growth with Axial Symmetry
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-017-9428-8
Abstract: In this paper, we study the evolution equation derived by Xu and Xiang (SIAM J Appl Math 69(5):1393–1414, 2009) to describe heteroepitaxial growth in $$2+1$$2+1 dimensions with elastic forces on vicinal surfaces is in the… read more here.
Keywords: epitaxial growth; dimensional model; model epitaxial; growth axial ... See more keywords
On Lie symmetries and soliton solutions of $$(2+1)$$(2+1)-dimensional Bogoyavlenskii equations
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4509-2
Abstract: The present article is devoted to find some invariant solutions of the $$(2+1)$$(2+1)-dimensional Bogoyavlenskii equations using similarity transformations method. The system describes $$(2+1)$$(2+1)-dimensional interaction of a Riemann wave propagating along y-axis with a long wave… read more here.
Keywords: lie symmetries; bogoyavlenskii equations; soliton solutions; dimensional bogoyavlenskii ... See more keywords
Localized solutions of (5+1)-dimensional evolution equations
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06541-w
Abstract: In this research, the general linear evolution equations (EEs) in (5+1) dimensions are studied. All the mixed second-order derivatives are included in this aforementioned model. Using the Hirota bilinear operator and symbolic computation, the localized… read more here.
Keywords: solutions dimensional; localized solutions; abundant lump; lump solutions ... See more keywords
Dynamic properties of interactional solutions for the (4 + 1)-dimensional Fokas equation
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06789-2
Abstract: In this paper, based on the bilinear form, we give multi-solitary wave solutions of the $$(4+1)$$ -dimensional Fokas equation. From the obtained multi-solitary wave solutions, with special parameters, we derive resonant solutions of N-solitary waves.… read more here.
Keywords: dynamic properties; solitary wave; fokas equation; solutions dimensional ... See more keywords
Stability, modulation instability and traveling wave solutions of (3+1)dimensional Schrödinger model in physics
Sign Up to like & getrecommendations! Published in 2024 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-024-07031-0
Abstract: The nonlinear Schrödinger equation is one of the most important physical model in optical fiber theory for comprehension of the fluctuations of optical bullet development. In this study, the exact bullet solutions for the (3+1)-dimensional… read more here.
Keywords: solutions dimensional; model; schr dinger; physics ... See more keywords
New analytical solutions of (2 + 1)-dimensional conformable time fractional Zoomeron equation via two distinct techniques
Sign Up to like & getrecommendations! Published in 2018 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2018.09.013
Abstract: Abstract In this paper, the new exact solutions for the (2 + 1) dimensional time fractional Zoomeron equation have been derived via two efficient analytical techniques, which are the extended exp ( − Φ ( ξ )… read more here.
Keywords: time fractional; fractional zoomeron; via two; solutions dimensional ... See more keywords
Multiwave interaction solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
Sign Up to like & getrecommendations! Published in 2021 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2021.03.001
Abstract: Abstract To construct a class of new multiwave interaction solutions for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation, we calculate different types of interaction solutions among solitons, periodic waves and rational waves using the direct algebraic method… read more here.
Keywords: solutions dimensional; generalized kadomtsev; interaction solutions; kadomtsev petviashvili ... See more keywords
Periodic solutions for an N-dimensional cyclic feedback system with delay
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.11.028
Abstract: Abstract We study models for N cyclically coupled variables (e.g., neuron activities) with overall negative delayed feedback, and without symmetry or monotonicity properties. Our aim is to extract the common parts of similar approaches that… read more here.
Keywords: periodic solutions; cyclic feedback; feedback; feedback system ... See more keywords
Analytical wave solutions of the (2 + 1)-dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by using modified mathematical methods
Sign Up to like & getrecommendations! Published in 2019 at "Results in physics"
DOI: 10.1016/j.rinp.2019.102775
Abstract: Abstract In our research, we ascertain abundant novel exact traveling wave solutions of (2 + 1)-dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by two new modified mathematical methods namely called generalized direct algebraic and extended simple equation methods… read more here.
Keywords: integro differential; wave solutions; solutions dimensional; dimensional first ... See more keywords
Exploring the chaotic structure and soliton solutions for (3 + 1)-dimensional generalized Kadomtsev–Petviashvili model
Sign Up to like & getrecommendations! Published in 2024 at "Scientific Reports"
DOI: 10.1038/s41598-024-66765-9
Abstract: The study of the Kadomtsev–Petviashvili (KP) model is widely used for simulating several scientific phenomena, including the evolution of water wave surfaces, the processes of soliton diffusion, and the electromagnetic field of transmission. In current… read more here.
Keywords: solutions dimensional; soliton solutions; petviashvili model; model ... See more keywords