Novel PT-invariant solutions for a large number of real nonlinear equations

被引：12

作者：

Khare, Avinash ^{[1
]}

Saxena, Avadh ^{[2
,3
]}

机构：

[1] Savitribai Phule Pune Univ, Dept Phys, Pune 411007, Maharashtra, India

[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[3] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

来源：

PHYSICS LETTERS A | 2016年 / 380卷 / 7-8期

关键词：

Solitons; Nonlinear equations; PT-symmetry; PHASE-TRANSITION; THERMODYNAMICS;

D O I：

10.1016/j.physleta.2015.12.007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For a large number of real nonlinear equations, either continuous or discrete, integrable or nonintegrable, we show that whenever a real nonlinear equation admits a solution in terms of sechx, it also admits solutions in terms of the PT-invariant combinations sechx +/- i tanhx. Further, for a number of real nonlinear equations we show that whenever a nonlinear equation admits a solution in terms sech(2) x, it also admits solutions in terms of the PT-invariant combinations sech(2)x +/- i sechxtanhx. Besides, we show that similar results are also true in the periodic case involving Jacobi elliptic functions. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：856 / 862

页数：7

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