New travelling wave solutions to the Ostrovsky equation

被引：26

作者：

Yasar, Emrullah ^{[1
]}

机构：

[1] Uludag Univ, Fac Arts & Sci, Dept Math, TR-16059 Bursa, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 11期

关键词：

Ostrovsky equation; Improved tanh function method; Travelling wave solutions; EXP-FUNCTION METHOD; NONLINEAR EVOLUTION-EQUATIONS; SOLITONS;

D O I：

10.1016/j.amc.2010.04.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, new travelling wave solutions to the Ostrovsky equation are studied by employing the improved tanh function method. With this method, the Ostrovsky equation is reduced to the nonlinear ordinary differential equation and then the different types of exact solutions are derived based on the solutions of the Riccati equation. We will compare our solutions with those gained by the other methods. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3191 / 3194

页数：4

共 50 条

[1] A note on "New travelling wave solutions to the Ostrovsky equation"
Parkes, E. J.
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3575 - 3577
[2] New exact travelling wave solutions for the Ostrovsky equation
Kangalgil, Figen
Ayaz, Fatma
PHYSICS LETTERS A, 2008, 372 (11) : 1831 - 1835
[3] On the travelling wave solutions of Ostrovsky equation
Demiray, Seyma Tuluce
Bulut, Hasan
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2020, 8 (02): : 401 - 407
[4] A travelling wave solution to the Ostrovsky equation
Yusufoglu, E.
Bekir, A.
APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (01) : 256 - 260
[5] A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation
Parkes, E. J.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (10) : 2769 - 2771
[6] Periodic and Solitary Travelling-Wave Solutions of an Extended Reduced Ostrovsky Equation
Parkes, E. John
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2008, 4
[7] Traveling wave solutions for a generalized Ostrovsky equation
Gandarias, M. L.
Bruzon, M. S.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (15) : 5840 - 5850
[8] New exact travelling wave solutions to Kundu equation
Huang, DJ
Li, DS
Zhang, HQ
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 44 (06) : 969 - 976
[9] New Exact Travelling Wave Solutions to Kundu Equation
HUANG Ding--Jiang
LI De--Sheng
ZHANG Hong--Qing Department of Applied Mathematics
Communications in Theoretical Physics, 2005, 44 (12) : 969 - 976
[10] Existence of periodic traveling wave solutions for the Ostrovsky equation
Ishimura, Naoyuki
Mizumachi, Tetsu
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2008, 31 (14) : 1646 - 1652

← 1 2 3 4 5 →