On a generalization of a coupled integrable dispersionless system

被引：0

作者：

Bougoffa, Lazhar ^{[1
]}

Bougouffa, Smail ^{[2
]}

Khanfer, Ammar ^{[3
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math, POB 90950, Riyadh 11623, Saudi Arabia

[2] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Phys, POB 90950, Riyadh 11623, Saudi Arabia

[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

来源：

RESULTS IN PHYSICS | 2022年 / 39卷

关键词：

Integrabledispersionlesssystem; Sine-Gordonequation; Sinh-Gordonequation; CoupledKonno-Oonosystem; EQUATIONS;

D O I：

10.1016/j.rinp.2022.105761

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we are concerned with a generalization of a coupled integrable dispersionless system, which plays a crucial role in nonlinear problems. We show with the appropriate transformations that the solutions can be expressed in terms of those of the sine-Gordon and sinh-Gordon equations involving an arbitrary function. The exact solutions are investigated.

引用

页数：6

共 50 条

[41] INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM
He, Yang
Sun, Yajuan
Shang, Zaijiu
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2015, 33 (05): : 468 - 494
[42] On square integrable solutions of a Hahn-Dirac system
Allahverdiev, Bilender P.
Tuna, Huseyin
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (01) : 26 - 26
[43] Integrable fermionic extensions of the Garnier system and the anharmonic oscillator
Zhou, Ruguang
Kui, Ying
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) : 9261 - 9266
[44] On quasi-integrable deformation scheme of the KdV system
Abhinav, Kumar
Guha, Partha
SCIENTIFIC REPORTS, 2025, 15 (01):
[45] An integrable generalization of the D-Kaup-Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy
McAnally, Morgan
Ma, Wen-Xiu
APPLIED MATHEMATICS AND COMPUTATION, 2018, 323 : 220 - 227
[46] Integrable discretisations of Volterra system with multiple branches of dispersion
Babalic, Corina N.
MODERN PHYSICS LETTERS B, 2021, 35 (05):
[47] Dipole-monopole alternative in nonlinear dynamics of an integrable gauge-coupled exciton-phonon system on a one-dimensional lattice
Vakhnenko, Oleksiy O.
Verchenko, Andriy P.
EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (10):
[48] Well-posedness and derivative blow-up for a dispersionless regularized shallow water system
Liu, Jian-Guo
Pego, Robert L.
Pu, Yue
NONLINEARITY, 2019, 32 (11) : 4346 - 4376
[49] Existence of solutions of cancer invasion parabolic system with integrable data
Shangerganesh, L.
Mani, V. N. Deiva
Karthikeyan, S.
AFRIKA MATEMATIKA, 2020, 31 (7-8) : 1359 - 1378
[50] Integrable discretizations of AB system and multi-soliton solutions
Sarfraz, H.
Saleem, U.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 79

← 1 2 3 4 5 →