Loop dynamics of shifted space-time nonlocal short pulse equation

被引：3

作者：

Sarfraz, H. ^{[1
]}

Saleem, U. ^{[1
]}

Hanif, Y. ^{[1
]}

机构：

[1] Univ Punjab, Dept Phys, Quaid i Azam Campus, Lahore 54590, Pakistan

来源：

PHYSICS LETTERS A | 2024年 / 523卷

关键词：

Short pulse (SP) equation; Wadati-Konno-Ichikawa (WKI) scheme; Darboux transformation; Loop soliton; Multi-soliton solutions; Breather solutions; WAVE SOLUTIONS;

D O I：

10.1016/j.physleta.2024.129776

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper deals with a new integrable reduction for the nonlocal short pulse (SP) equation that involves additional space and time adjustments. We refer to the resulting equation as the shifted nonlocal short pulse (SP) equation. Simultaneous shifts in space and time follow the effects of nonlocality, intensifies the solution dynamics of the shifted nonlocal SP equation. We conduct a comprehensive investigation into the interactions of numerous loops and antiloops for shifted nonlocal SP equations. We find that both the second- and higher-order soliton solutions adhere to nontrivial space and time translations. We also illustrate and discuss such deformations in the breather solutions.

引用

页数：12

共 28 条

[1] Integrable space-time shifted nonlocal nonlinear equations [J].

Ablowitz, Mark J. ;

Musslimani, Ziad H. .

PHYSICS LETTERS A, 2021, 409

[2] Integrable Nonlocal Nonlinear Schrodinger Equation [J].

Ablowitz, Mark J. ;

Musslimani, Ziad H. .

PHYSICAL REVIEW LETTERS, 2013, 110 (06)

[3] The bi-Hamiltonian structure of the short pulse equation [J].

Brunelli, J. C. .

PHYSICS LETTERS A, 2006, 353 (06) :475-478

[4] The short pulse hierarchy [J].

Brunelli, JC .

JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (12)

[5] Soliton solutions of the shifted nonlocal NLS and MKdV equations [J].

Gurses, Metin ;

Pekcan, Asli .

PHYSICS LETTERS A, 2022, 422

[6] PT-symmetric semi-discrete short pulse equation [J].

Hanif, Y. ;

Sarfraz, H. ;

Saleem, U. .

RESULTS IN PHYSICS, 2020, 19

[7]

Hanif Y, 2020, NONLINEAR DYNAM, V100, P1559, DOI 10.1007/s11071-020-05548-z

[8] General, symmetry non-preserving and preserving multiple soliton solutions of long wave-short wave resonant models [J].

Hanif, Y. ;

Sarfraz, H. ;

Saleem, U. .

CHAOS SOLITONS & FRACTALS, 2019, 125 :119-138

[9] RECIPROCAL BACKLUND-TRANSFORMATIONS OF CONSERVATION-LAWS [J].

KINGSTON, JG ;

ROGERS, C .

PHYSICS LETTERS A, 1982, 92 (06) :261-264

[10] Periodic solutions of the short pulse model equation [J].

Matsuno, Yoshimasa .

JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (07)

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