Numerical calculation and characteristics of N-periodic waves of a (4+1)-dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff equation in fluid physics and plasma physics

Wang, Yu; Zhao, Zhonglong; Xin, Pengcheng

doi:10.1007/s11071-024-10001-6

Nonlinear Dyn

2024

DOI: 10.1007/s11071-024-10001-6

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Numerical calculation and characteristics of N-periodic waves of a (4+1)-dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff equation in fluid physics and plasma physics

Yu Wang,

Zhonglong Zhao,

Pengcheng Xin

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Numerical calculation of N-periodic wave solutions to two kinds of generalized (2+1)-dimensional KdV-type equations

Xin,

Zhao,

Wang

et al. 2024

Phys. Scr.

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In this paper, by combining the direct method proposed by Nakamura with the numerical algorithms, the N-periodic wave solutions of two kinds of (2+1)-dimensional KdV-type equations are investigated, which are applied in fluid dynamics and plasma physics. The problem of solving N-periodic wave solutions can be transformed into a least squares problem and addressed by using numerical algorithms. The three- and four-periodic wave solutions of the KdV-type equations are obtained and some numerical results are presented. It is verified that the N-periodic wave solutions approach to the N-soliton solutions under a small amplitude limit. The dynamic behaviors of the quasi-periodic wave solutions are analyzed by utilizing the characteristic lines. The numerical procedure adopted in this paper can be further generalized to other high-dimensional nonlinear integrable systems.

show abstract

Numerical calculation of N-periodic wave solutions to two kinds of generalized (2+1)-dimensional KdV-type equations

Xin,

Zhao,

Wang

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

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Numerical calculation and characteristics of N-periodic waves of a (4+1)-dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff equation in fluid physics and plasma physics

Cited by 1 publication

References 73 publications

Numerical calculation of N-periodic wave solutions to two kinds of generalized (2+1)-dimensional KdV-type equations

Numerical calculation of N-periodic wave solutions to two kinds of generalized (2+1)-dimensional KdV-type equations

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