Soliton solutions of (2+1) complex modified Korteweg–de Vries system using improved Sardar method

Umar Ali Muhammad; Jamilu Sabi’u; Soheil Salahshour; Hadi Rezazadeh

doi:10.1007/s11082-024-06591-5

Soliton solutions of (2+1) complex modified Korteweg–de Vries system using improved Sardar method

Umar Ali Muhammad
, Jamilu Sabi’u
, Soheil Salahshour
, Hadi Rezazadeh^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

This paper investigates (2+1)-dimensional complex modified Korteweg–de Vries (cmKdV) system equations using the improved Sadar subequation method. It uncovers analytical solutions, including dark solitons, bright solitons, and periodic waves. The dynamic behavior of these solutions is illustrated through 2D and 3D plots by adjusting parameters. The results highlight the effectiveness and simplicity of the proposed methods, providing a versatile approach to obtaining various traveling wave solutions. These findings are expected to advance the shallow water theory of ideal fluids.

Original language	English
Article number	802
Journal	Optical and Quantum Electronics
Volume	56
Issue number	5
DOIs	https://doi.org/10.1007/s11082-024-06591-5
State	Published - May 2024
Externally published	Yes

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.

Keywords

Bright and dark soliton
Complex mKdV
Nonlinear evolution equation
Sardar sub-equation method
Travelling wave solution

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Electrical and Electronic Engineering

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Cite this

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title = "Soliton solutions of (2+1) complex modified Korteweg–de Vries system using improved Sardar method",

abstract = "This paper investigates (2+1)-dimensional complex modified Korteweg–de Vries (cmKdV) system equations using the improved Sadar subequation method. It uncovers analytical solutions, including dark solitons, bright solitons, and periodic waves. The dynamic behavior of these solutions is illustrated through 2D and 3D plots by adjusting parameters. The results highlight the effectiveness and simplicity of the proposed methods, providing a versatile approach to obtaining various traveling wave solutions. These findings are expected to advance the shallow water theory of ideal fluids.",

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author = "Muhammad, \{Umar Ali\} and Jamilu Sabi{\textquoteright}u and Soheil Salahshour and Hadi Rezazadeh",

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AU - Muhammad, Umar Ali

AU - Sabi’u, Jamilu

AU - Salahshour, Soheil

AU - Rezazadeh, Hadi

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.

PY - 2024/5

Y1 - 2024/5

N2 - This paper investigates (2+1)-dimensional complex modified Korteweg–de Vries (cmKdV) system equations using the improved Sadar subequation method. It uncovers analytical solutions, including dark solitons, bright solitons, and periodic waves. The dynamic behavior of these solutions is illustrated through 2D and 3D plots by adjusting parameters. The results highlight the effectiveness and simplicity of the proposed methods, providing a versatile approach to obtaining various traveling wave solutions. These findings are expected to advance the shallow water theory of ideal fluids.

AB - This paper investigates (2+1)-dimensional complex modified Korteweg–de Vries (cmKdV) system equations using the improved Sadar subequation method. It uncovers analytical solutions, including dark solitons, bright solitons, and periodic waves. The dynamic behavior of these solutions is illustrated through 2D and 3D plots by adjusting parameters. The results highlight the effectiveness and simplicity of the proposed methods, providing a versatile approach to obtaining various traveling wave solutions. These findings are expected to advance the shallow water theory of ideal fluids.

KW - Bright and dark soliton

KW - Complex mKdV

KW - Nonlinear evolution equation

KW - Sardar sub-equation method

KW - Travelling wave solution

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DO - 10.1007/s11082-024-06591-5

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AN - SCOPUS:85188595993

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VL - 56

JO - Optical and Quantum Electronics

JF - Optical and Quantum Electronics

IS - 5

M1 - 802

ER -

Soliton solutions of (2+1) complex modified Korteweg–de Vries system using improved Sardar method

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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