Solutions to the Konopelchenko-Dubrovsky equation and the Landau-Ginzburg-Higgs equation via the generalized Kudryashov technique

被引：45

作者：

Barman, Hemonta Kumar ^{[1
]}

Akbar, M. Ali ^{[2
]}

Osman, M. S. ^{[3
,4
]}

Nisar, Kottakkaran Sooppy ^{[5
]}

Zakarya, M. ^{[6
,7
]}

Abdel-Aty, Abdel-Haleem ^{[8
,9
]}

Eleuch, Hichem ^{[10
,11
,12
]}

机构：

[1] Univ Creat Technol Chittagong, Dept Comp Sci & Engn, Chattogram, Bangladesh

[2] Rajshahi Univ, Dept Appl Math, Rajshahi, Bangladesh

[3] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt

[4] Umm Alqura Univ, Fac Sci Appl, Dept Math, Mecca 21955, Saudi Arabia

[5] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser, Saudi Arabia

[6] King Khalid Univ, Dept Math, Coll Sci, POB 9004, Abha 61413, Saudi Arabia

[7] Al Azhar Univ, Fac Sci, Dept Math, Assiut 71524, Egypt

[8] Univ Bisha, Coll Sci, Dept Phys, POB 344, Bisha 61922, Saudi Arabia

[9] Al Azhar Univ, Dept Phys, Fac Sci, Assiut 71524, Egypt

[10] Univ Sharjah, Dept Appl Phys & Astron, Sharjah, U Arab Emirates

[11] Abu Dhabi Univ, Coll Arts & Sci, Abu Dhabi 59911, U Arab Emirates

[12] Texas A&M Univ, Inst Quantum Sci & Engn, College Stn, TX 77843 USA

来源：

RESULTS IN PHYSICS | 2021年 / 24卷

关键词：

The generalized Kudryashov method; NLEEs; The Konopelchenko-Dubrovsky equation; The Landau-Ginzburg-Higgs equation; Soliton solutions; TRAVELING-WAVE SOLUTIONS; POWER-LAW NONLINEARITY; F-EXPANSION METHOD; SOLITON-SOLUTIONS; ROGUE WAVE; SYSTEM; BREATHER; GORDON; KDV;

D O I：

10.1016/j.rinp.2021.104092

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-Ginzburg-Higgs (LGH) equation describe the nonlinear waves with weak scattering and long-range interactions between the tropical, mid-latitude troposphere, the interaction of equatorial and mid-latitude Rossby waves etc. This article studies the KD and LGH models stated earlier using the generalized Kudryashov technique. We obtained a variety of analytical solutions including unknown parameters. The figures of some of the obtained solutions are sketched with certain parameters. The derived results demonstrate the efficiency and reliability of the generalized Kudryashov technique for establishing systematic solutions to nonlinear evolution equations (NLEEs).

引用

页数：10

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