Stability of traveling waves for deterministic and stochastic delayed reaction–diffusion equation based on phase shift

Liu, Yu; Chen, Guanggan; Li, Shuyong

doi:10.1016/j.cnsns.2023.107561

Communications in Nonlinear Science and Numerical Simulation

2023

DOI: 10.1016/j.cnsns.2023.107561

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Stability of traveling waves for deterministic and stochastic delayed reaction–diffusion equation based on phase shift

Yu Liu,

Guanggan Chen,

Shuyong Li

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2024

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Cited by 2 publications

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Comments to ‘Stability of traveling waves for deterministic and stochastic delayed reaction-diffusion equation based on phase shift’

Hamster

2024

Communications in Nonlinear Science and Numerical Simulation

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Comments to ‘Stability of traveling waves for deterministic and stochastic delayed reaction-diffusion equation based on phase shift’

Hamster

2024

Communications in Nonlinear Science and Numerical Simulation

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Traveling wave solution of (3+1)-dimensional negative-order KdV-Calogero-Bogoyavlenskii-Schiff equation

Gu,

Peng,

2024

MATH

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<abstract><p>We explored the (3+1)-dimensional negative-order Korteweg-de Vries-alogero-Bogoyavlenskii-Schiff (KdV-CBS) equation, which develops the classical Korteweg-de Vries (KdV) equation and extends the contents of nonlinear partial differential equations. A traveling wave transformation is employed to transform the partial differential equation into a system of ordinary differential equations linked with a cubic polynomial. Utilizing the complete discriminant system for polynomial method, the roots of the cubic polynomial were classified. Through this approach, a series of exact solutions for the KdV-CBS equation were derived, encompassing rational function solutions, Jacobi elliptic function solutions, hyperbolic function solutions, and trigonometric function solutions. These solutions not only simplified and expedited the process of solving the equation but also provide concrete and insightful expressions for phenomena such as optical solitons. Presenting these obtained solutions through 3D, 2D, and contour plots offers researchers a deeper understanding of the properties of the model and allows them to better grasp the physical characteristics associated with the studied model. This research not only provides a new perspective for the in-depth exploration of theoretical aspects but also offers valuable guidance for the practical application and advancement of related technologies.</p></abstract>

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Stability of traveling waves for deterministic and stochastic delayed reaction–diffusion equation based on phase shift

Cited by 2 publications

References 25 publications

Comments to ‘Stability of traveling waves for deterministic and stochastic delayed reaction-diffusion equation based on phase shift’

Comments to ‘Stability of traveling waves for deterministic and stochastic delayed reaction-diffusion equation based on phase shift’

Traveling wave solution of (3+1)-dimensional negative-order KdV-Calogero-Bogoyavlenskii-Schiff equation

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