Nonlinear hybrid systems and control in social and natural sciences

Dutta, Hemen; López, Juan Carlos Cortés; Agarwal, Ravi P.

doi:10.1016/j.chaos.2022.112900

Cited by 2 publications

(1 citation statement)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One of the distinctive features of modern science is the intersection and integration of various disciplines, which is both the result of the evolution of science and technology and the inevitable trend in the development of disciplines, the emergence and development of nonlinear science typically reflect this feature [1][2][3][4]. As an important branch of nonlinear science, the research of soliton theory has not only promoted the development of nonlinear science but also provided new ideas and methods for research fields such as plasma [5,6], hydrodynamics [7,8], nonlinear optics [9], atmospheric science [10] and marine science [11].…”

Section: Introductionmentioning

confidence: 99%

The mixed solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation and the analysis of nonlinear transformed waves

Guo

2023

Nonlinear Dyn

View full text Add to dashboard Cite

In this paper, we obtain the N -soliton solution for the (2 + 1)-dimensional Hirota-Satsuma-Ito equation by the Hirota bilinear method. On this basis, the breathers and lumps can be obtained using the complex conjugate parameter as well as the long wave limit method, and the mixed solutions containing them are investigated. Then, different nonlinear transformed waves are obtained from breathers and lumps under specific conditions, which include quasi-anti-dark soliton, M -shaped soliton, oscillation Mshaped soliton, multi-peak soliton, quasi-periodic soliton and W -shaped soliton. Finally, on the basis of the two-breather solutions, we discuss in detail the mixed solutions consisting of one breather and one nonlinear transformed wave, and the mixed solutions formed by two nonlinear transformed waves.

show abstract

Section: Introductionmentioning

confidence: 99%

The mixed solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation and the analysis of nonlinear transformed waves

Guo

2023

Nonlinear Dyn

View full text Add to dashboard Cite

show abstract

The mixed solutions of the (2 + 1)-dimensional Hirota-Satsuma-Ito equation and the analysis of nonlinear transformed waves

Guo

2023

Preprint

View full text Add to dashboard Cite

In this paper, we obtain the N-soliton solution for the (2 + 1)-dimensional Hirota-Satsuma-Ito equation by the Hirota bilinear method. On this basis, the breathers and lumps can be obtained using the complex conjugate parameter as well as the long wave limit method, and the mixed solutions containing them are investigated. Then, different nonlinear transformed waves are obtained from breathers and lumps under specific conditions, which include quasi-anti-dark soliton, M-shaped soliton, oscillation M-shaped soliton, multi-peak soliton, quasi-periodic soliton and W-shaped soliton. Finally, on the basis of the two-breather solutions, we discuss in detail the mixed solutions consisting of one breather and one nonlinear transformed wave, and the mixed solutions formed by two nonlinear transformed waves.

show abstract

Nonlinear hybrid systems and control in social and natural sciences

Cited by 2 publications

References 13 publications

The mixed solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation and the analysis of nonlinear transformed waves

The mixed solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation and the analysis of nonlinear transformed waves

The mixed solutions of the (2 + 1)-dimensional Hirota-Satsuma-Ito equation and the analysis of nonlinear transformed waves

Contact Info

Product

Resources

About