Soliton Solutions of Cubic-Quintic Nonlinear Schrodinger and Variant Boussinesq Equations by the First Integral Method

被引：15

作者：

Seadawy, Aly ^{[1
,2
]}

Sayed, A. ^{[2
]}

机构：

[1] Taibah Univ, Fac Sci, Al Madinah Al Munawara, Saudi Arabia

[2] Beni Suef Univ, Math Dept, Fac Sci, Bani Suwayf, Egypt

来源：

FILOMAT | 2017年 / 31卷 / 13期

关键词：

Cubic-quintic nonlinear Schrodinger equation; Variant Boussinesq equation; The first integral method; Exact solutions; ZAKHAROV-KUZNETSOV EQUATION; MADELUNG FLUID DESCRIPTION; ION-ACOUSTIC-WAVES; STABILITY ANALYSIS; INSTABILITIES; DYNAMICS;

D O I：

10.2298/FIL1713199S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The cubic-quintic nonlinear Schrodinger equation emerges in models of light propagation in diverse optical media, such as non-Kerr crystals, chalcogenide glasses, organic materials, colloids, dye solutions and ferroelectrics. The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. By using the extended first integral method, we construct exact solutions of a fourth-order dispersive cubic-quintic nonlinear Schrodinger equation and the variant Boussinesq system. The stability analysis for these solutions are discussed.

引用

页码：4199 / 4208

页数：10

共 41 条

[21] Two-dimensional bright spatial solitons stable over limited intensities and ring formation in polydiacetylene para-toluene sulfonate [J].

Lawrence, BL ;

Stegeman, GI .

OPTICS LETTERS, 1998, 23 (08) :591-593

[22] Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order [J].

Lu, Xing ;

Lin, Fuhong .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 32 :241-261

[23] Solitary waves with the Madelung fluid description: A generalized derivative nonlinear Schrodinger equation [J].

Lu, Xing ;

Ma, Wen-Xiu ;

Yu, Jun ;

Khalique, Chaudry Masood .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 31 (1-3) :40-46

[24] Madelung fluid description on a generalized mixed nonlinear Schrodinger equation [J].

Lu, Xing .

NONLINEAR DYNAMICS, 2015, 81 (1-2) :239-247

[25] Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrodinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications [J].

Lue, Xing ;

Zhu, Hong-Wu ;

Yao, Zhen-Zhi ;

Meng, Xiang-Hua ;

Zhang, Cheng ;

Zhang, Chun-Yi ;

Tian, Bo .

ANNALS OF PHYSICS, 2008, 323 (08) :1947-1955

[26] Soliton solutions and a Backlund transformation for a generalized nonlinear Schrodinger equation with variable coefficients from optical fiber communications [J].

Lue, Xing ;

Zhu, Hong-Wu ;

Meng, Xiang-Hua ;

Yang, Zai-Chun ;

Tian, Bo .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (02) :1305-1315

[27] A direct bilinear Backlund transformation of a (2+1)-dimensional Korteweg-de Vries-like model [J].

Lue, Xing ;

Ma, Wen-Xiu ;

Khalique, Chaudry Masood .

APPLIED MATHEMATICS LETTERS, 2015, 50 :37-42

[28] Three-dimensional nonlinear modified Zakharov-Kuznetsov equation of ion-acoustic waves in a magnetized plasma [J].

Seadavvy, Aly R. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (01) :201-212

[29] Stability analysis for two-dimensional ion-acoustic waves in quantum plasmas [J].

Seadawy, A. R. .

PHYSICS OF PLASMAS, 2014, 21 (05)

[30] Stability analysis for Zakharov-Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma [J].

Seadawy, A. R. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 67 (01) :172-180

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