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Journal Articles

Compactons in Higher-Order Nesterenko's-Type Equations

Vsevolod Vladimirov, Sergii Skurativskyi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2024, 19(5): 051002.
Paper No: CND-23-1300
https://doi.org/10.1115/1.4064796
Published Online: March 7, 2024
View Article titled, Compactons in Higher-Order Nesterenko's-Type Equations
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Topics: Approximation, Chain, Dynamics (Mechanics), Partial differential equations, Solitons, Stability, Trains, Collisions (Physics), Waves, Differential equations
Journal Articles

Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative

Muhammad Bilal Riaz, Adil Jhangeer, Jan Awrejcewicz, Dumitru Baleanu, Sana Tahir
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2022, 17(3): 031002.
Paper No: CND-21-1067
https://doi.org/10.1115/1.4052876
Published Online: December 6, 2021
View Article titled, Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative
Open the PDF for Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative in another window
Topics: Algebra, Optical fiber, Solitons
Journal Articles

Numerical Soliton Solutions of Fractional Modified (2 + 1)-Dimensional Konopelchenko–Dubrovsky Equations in Plasma Physics

S. Saha Ray, B Sagar
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2022, 17(1): 011007.
Paper No: CND-21-1023
https://doi.org/10.1115/1.4052722
Published Online: November 17, 2021
View Article titled, Numerical Soliton Solutions of Fractional Modified (2 + 1)-Dimensional Konopelchenko–Dubrovsky Equations in Plasma Physics
Open the PDF for Numerical Soliton Solutions of Fractional Modified (2 + 1)-Dimensional Konopelchenko–Dubrovsky Equations in Plasma Physics in another window
Topics: Plasma physics, Solitons, Stability, Errors, Waves
Journal Articles

New Breather and Multiple-Wave Soliton Dynamics for Generalized Vakhnenko–Parkes Equation With Variable Coefficients

Bang-Qing Li
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2021, 16(9): 091006.
Paper No: CND-20-1310
https://doi.org/10.1115/1.4051624
Published Online: July 22, 2021
View Article titled, New Breather and Multiple-Wave Soliton Dynamics for Generalized Vakhnenko–Parkes Equation With Variable Coefficients
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Topics: Solitons, Waves, Dynamics (Mechanics)
Journal Articles

On the Complex Simulations With Dark–Bright to the Hirota–Maccari System

Gulnur Yel, Carlo Cattani, Haci Mehmet Baskonus, Wei Gao
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2021, 16(6): 061005.
Paper No: CND-20-1233
https://doi.org/10.1115/1.4050677
Published Online: April 23, 2021
View Article titled, On the Complex Simulations With Dark–Bright to the Hirota–Maccari System
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Topics: Engineering simulation, Simulation, Waves, Solitons
Journal Articles

The Time-Splitting Spectral Method for the Gerdjikov–Ivanov Equation With the Riesz Fractional Derivative in the Quantum Field Theory

S. Saha Ray
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. January 2019, 14(1): 014502.
Paper No: CND-18-1202
https://doi.org/10.1115/1.4041891
Published Online: November 28, 2018
View Article titled, The Time-Splitting Spectral Method for the Gerdjikov–Ivanov Equation With the Riesz Fractional Derivative in the Quantum Field Theory
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Topics: Errors, Finite difference methods, Fourier transforms, Quantum field theory, Solitons, Stability, Waves
Journal Articles

A Novel Lattice Model on a Gradient Road With the Consideration of Relative Current

Jin-Liang Cao, Zhong-Ke Shi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061018.
Paper No: CND-14-1239
https://doi.org/10.1115/1.4029701
Published Online: November 1, 2015
View Article titled, A Novel Lattice Model on a Gradient Road With the Consideration of Relative Current
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Topics: Density, Flow (Dynamics), Roads, Stability, Traffic, Waves, Korteweg-de Vries equation, Solitons
Journal Articles

KdV and Kink-Antikink Solitons in an Extended Car-Following Model

Yanfei Jin, Meng Xu, Ziyou Gao
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2011, 6(1): 011018.
https://doi.org/10.1115/1.4002336
Published Online: October 13, 2010
View Article titled, KdV and Kink-Antikink Solitons in an Extended Car-Following Model
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Topics: Flow (Dynamics), Solitons, Stability, Traffic, Korteweg-de Vries equation, Waves