Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities

被引:106
作者
Wazwaz, Abdul-Majid [1 ]
机构
[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
关键词
Gausson; Logarithmic KdV-like equation; Logarithmic KP-like equations; Logarithmic Klein-Gordon equations; SOLITONS; SCHEME;
D O I
10.1007/s11071-015-2349-x
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this work, we study a variety of nonlinear evolution equations with logarithmic nonlinearities. We will examine the logarithmic KdV-like equations, the logarithmic KP-like equations, and the logarithmic Klein-Gordon equations. We show that these equations possess Gaussons: solitary wave solutions of Gaussian shape.
引用
收藏
页码:591 / 596
页数:6
相关论文
共 27 条
[1]   A high-order symmetrical weighted hybrid ENO-flux limiter scheme for hyperbolic conservation laws [J].
Abedian, Rooholah ;
Adibi, Hojatollah ;
Dehghan, Mehdi .
COMPUTER PHYSICS COMMUNICATIONS, 2014, 185 (01) :106-127
[2]   One-dimensional Klein-Gordon equation with logarithmic nonlinearities [J].
Bartkowski, Konrad ;
Gorka, Przemyslaw .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (35)
[3]   Theory of dispersion-managed optical solitons [J].
Biswas, A. ;
Konar, S. .
PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, 2005, 50 :83-134
[4]  
Biswas A., 2001, PROG ELECTROMAGN RES, V33, P119
[5]   A linearly implicit one-step time integration scheme for nonlinear hyperbolic equations in two space dimensions [J].
Chawla, MM ;
Al-Zanaidi, MA .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2003, 80 (03) :357-365
[6]   Approximate solution of a differential equation arising in astrophysics using the variational iteration method [J].
Dehghan, Mehdi ;
Shakeri, Fatemeh .
NEW ASTRONOMY, 2008, 13 (01) :53-59
[7]   Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM) [J].
Dehghan, Mehdi ;
Ghesmati, Arezou .
COMPUTER PHYSICS COMMUNICATIONS, 2010, 181 (04) :772-786
[8]   Gaussian solitary waves and compactons in Fermi-Pasta-Ulam lattices with Hertzian potentials [J].
James, Guillaume ;
Pelinovsky, Dmitry .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2014, 470 (2165)
[9]  
Kadomtsev B. B., 1970, Soviet Physics - Doklady, V15, P539
[10]   Exact solutions of the (2+1)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis [J].
Khalique, C. M. ;
Adem, K. R. .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) :184-189