Traveling-wave solutions of the cubic-quintic nonlinear Schrodinger equation

被引:106
作者
Schurmann, HW
机构
关键词
D O I
10.1103/PhysRevE.54.4312
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A subset of the exact analytical traveling-wave solutions of the equation i Psi(t) + Psi(zz) = a(1) Psi\Psi\(2) + a(2) Psi\Psi\(4) is presented in compact form. The solutions are expressed in terms of Weierstrass's elliptic function p and include periodic and solitary-wave-like solutions. The algebraic conditions for both cases are given. Examples are presented for simple cases.
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页码:4312 / 4320
页数:9
相关论文
共 29 条
[1]   A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .1. [J].
ABLOWITZ, MJ ;
RAMANI, A ;
SEGUR, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) :715-721
[2]  
ABRAMOWITZ M, 1968, HDB MATH FUNCTIONS, P649
[3]  
Abramowitz M., 1968, HDB MATH FUNCTIONS, P651
[4]  
ABRAMOWITZ M, 1968, HDB MATH FUNCTIONS, P629
[5]  
Abramowitz M, 1968, HDB MATH FUNCTIONS
[6]  
ABRAMOWITZ M, 1968, HDB MATH FUNCTIONS, P652
[7]   EXACT 1ST-ORDER SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION [J].
AKHMEDIEV, NN ;
ELEONSKII, VM ;
KULAGIN, NE .
THEORETICAL AND MATHEMATICAL PHYSICS, 1987, 72 (02) :809-818
[8]  
BOLSHINSKII LG, 1986, SOV TECH PHYS LETT, V56, P817
[9]  
BRONSTEIN IN, 1989, TASCHENBUCH MATH, P133
[10]  
BRONSTEIN IN, 1989, TASCHENBUCH MATH, P137