On new complex soliton structures of the nonlinear partial differential equation describing the pulse narrowing nonlinear transmission lines

被引：27

作者：

Kumar, Dipankar ^{[1
,2
]}

Seadawy, Aly R. ^{[3
,4
]}

Chowdhury, Raju ^{[5
]}

机构：

[1] Univ Tsukuba, Grad Sch Syst & Informat Engn, Tennodai 1-1-1, Tsukuba, Ibaraki, Japan

[2] Bangabandhu Sheikh Mujibur Rahman Sci & Technol, Dept Phys, Gopalganj 8100, Bangladesh

[3] Taibah Univ, Fac Sci, Math Dept, Al Madinah Al Munawarah, Saudi Arabia

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

[5] Stamford Univ Bangladesh, Dept Nat Sci, Dhaka 1217, Bangladesh

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2018年 / 50卷 / 02期

关键词：

Pulse narrowing nonlinear transmission lines; Kirchhoffs current and Kirchhoffs voltage laws; Mathematical methods; Soliton and optical solutions; TRAVELING-WAVE SOLUTIONS; LUMP-KINK SOLUTIONS; SCHRODINGER-EQUATION; HIGHER-ORDER; BEHAVIORS; EXPLICIT; OPTICS; PLASMA; MODEL; KDV;

D O I：

10.1007/s11082-018-1383-6

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The present paper studies the pulse narrowing nonlinear transmission lines equation, describing pulse narrowing in the field of communication engineering. More precisely, the pulse narrowing nonlinear transmission line equation is solved analytically using the recently developed techniques viz the modified Kudraysov method, the sine-Gordon equation expansion method and the extended sinh-Gordon equation expansion method. As a result, a wide range of dark, bright, dark-bright, singular or combined singular and optical soliton solutions for the pulse narrowing nonlinear transmission lines equation is formally obtained. All solutions have been verified back into its corresponding equation with the aid of maple package program.

引用

页数：14

共 42 条

[1] Nonlinear transmission lines for pulse shaping in silicon [J].

Afshari, E ;

Hajimiri, A .

IEEE JOURNAL OF SOLID-STATE CIRCUITS, 2005, 40 (03) :744-752

[2] Investigation of various travelling wave solutions to the extended (2+1)-dimensional quantum ZK equation [J].

Baskonus, Haci Mehmet ;

Bulut, Hasan ;

Sulaiman, Tukur Abdulkadir .

EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (11)

[3] On the novel wave behaviors to the coupled nonlinear Maccari's system with complex structure [J].

Baskonus, Haci Mehmet ;

Sulaiman, Tukur Abdulkadir ;

Bulut, Hasan .

OPTIK, 2017, 131 :1036-1043

[4] New acoustic wave behaviors to the Davey-Stewartson equation with power-law nonlinearity arising in fluid dynamics [J].

Baskonus, Haci Mehmet .

NONLINEAR DYNAMICS, 2016, 86 (01) :177-183

[5]

Bulut H, 2017, SUPERLATTICES MICROS

[6] Complex acoustic gravity wave behaviors to some mathematical models arising in fluid dynamics and nonlinear dispersive media [J].

Bulut, Hasan ;

Sulaiman, Tukur Abdulkadir ;

Baskonus, Haci Mehmet ;

Akturk, Tolga .

OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (01)

[7] On the new soliton and optical wave structures to some nonlinear evlouation equations [J].

Bulut, Hasan ;

Sulaiman, Tukur Abdulkadir ;

Baskonus, Haci Mehmet .

EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (11)

[8] Exact and soliton solutions to nonlinear transmission line model [J].

El-Borai, M. M. ;

El-Owaidy, H. M. ;

Ahmed, H. M. ;

Arnous, A. H. .

NONLINEAR DYNAMICS, 2017, 87 (02) :767-773

[9] New optical solitons of cubic-quartic nonlinear Schrodinger equation [J].

Hosseini, K. ;

Samadani, F. ;

Kumar, D. ;

Faridi, M. .

OPTIK, 2018, 157 :1101-1105

[10] New Exact Traveling Wave Solutions of the Unstable Nonlinear Schrodinger Equations [J].

Hosseini, K. ;

Kumar, D. ;

Kaplan, M. ;

Bejarbaneh, E. Yazdani .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 68 (06) :761-767

← 1 2 3 4 5 →