New rogon waves for the nonautonomous variable coefficients Schro dinger equation

被引：32
作者：
El-Shiekh, Rehab M. [1 ,2 ]
Gaballah, Mahmoud [3 ,4 ]
机构：
[1] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt
[2] Majmaah Univ, Coll Business Adm Majmaah, Al Majmaah 11952, Saudi Arabia
[3] Majmaah Univ, Coll Sci Al Zulfi, Dept Phys, Al Majmaah 11952, Saudi Arabia
[4] Natl Res Inst Astron & Geophys NRIAG, Geomagnet & Geoelect Dept, Cairo 11421, Egypt
来源：
OPTICAL AND QUANTUM ELECTRONICS | 2021年 / 53卷 / 08期
关键词：
Nonautonomous variable coefficients Schro dinger equation; Direct similarity reduction method; Solitary wave solutions; Periodic wave solutions; Rational wave solutions; SIMILARITY SOLUTIONS; SYMMETRY; INTEGRABILITY; REDUCTION; SOLITONS; SOLITARY;
D O I：
10.1007/s11082-021-03066-9
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：
In this study, the nonautonomous variable coefficients Schrodinger equation describes rogon waves in ocean dynamics and optics, is reduced to the nonlinear ordinary differential equation by using the direct similarity technique. The reduced equation is a Riccati equation of Jacobi elliptic wave type solutions. Therefore, many new Jacobi elliptic wave, periodic and hyperbolic wave solutions are obtained for the nonautonomous variable coefficients Schrodinger equation with some constraints between the variable coefficients. Moreover, a rational solution is given. Finally, many plots for the new rogon wave solutions are investigated.
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页数：12
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