Darboux transformation and solution of the modified Korteweg-de Vries equation

被引：0

作者：

Kemelbekova, G. ^{[1
]}

Yesmakhanova, K. ^{[1
]}

Tapeeva, S. ^{[2
]}

Tungushbaeva, D. ^{[2
]}

机构：

[1] LN Gumilyov Eurasian Natl Univ, Astana, Kazakhstan

[2] Al Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan

来源：

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2015年 / 80卷 / 04期

关键词：

Darboux transformation; seed" solutions; (2+1)-dimensional modified Korteweg-de Vries equation; soliton solutions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Darboux transformation and a comprehensive approach to construct exact solutions of the nonlinear differential equation are counted. It is applied to construct the explicit solutions of the (2+1)-dimensional modified Korteweg-de Vries (KdV) equation. In this work we derive one flod Darboux transformation of the modified KdV equation. Using the obtained Darboux transformation, the one-soliton solution is built from the "seed" solution. Further, we will construct other explicit solutions for this equation.

引用

下载

页码：98 / 102

页数：5

共 50 条

[41] On the numerical solution of the nonlinear Korteweg-de Vries equation
Sarboland, Maryam
Aminataei, Azim
SYSTEMS SCIENCE & CONTROL ENGINEERING, 2015, 3 (01): : 69 - 80
[42] On an integrable discretization of the modified Korteweg-de Vries equation
Suris, YB
PHYSICS LETTERS A, 1997, 234 (02) : 91 - 102
[43] Exact solutions for modified Korteweg-de Vries equation
Sarma, Jnanjyoti
CHAOS SOLITONS & FRACTALS, 2009, 42 (03) : 1599 - 1603
[44] Asymptotic solitons of the modified Korteweg-de Vries equation
Kotlyarov, V.P., 1600, (05):
[45] Erratum to: A New Approach for Numerical Solution of Modified Korteweg-de Vries Equation
Turgut Ak
S. Battal Gazi Karakoc
Anjan Biswas
Iranian Journal of Science and Technology, Transactions A: Science, 2018, 42 : 1685 - 1686
[46] Asymptotic solution of the extended Korteweg-de Vries equation
Marchant, T.R.
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1999, 59 (2-3): : 3745 - 3752
[47] N-SOLITON SOLUTION ON A PEDESTAL OF THE MODIFIED KORTEWEG-DE VRIES EQUATION
ROMANOVA, NN
THEORETICAL AND MATHEMATICAL PHYSICS, 1979, 39 (02) : 415 - 421
[48] The homotopy analysis method for approximating the solution of the modified Korteweg-de Vries equation
Liu Yinping
Li Zhibin
CHAOS SOLITONS & FRACTALS, 2009, 39 (01) : 1 - 8
[49] Numerical solution of complex modified Korteweg-de Vries equation by collocation method
Ismail, M. S.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (03) : 749 - 759
[50] EXACT SOLUTION OF MODIFIED KORTEWEG-DE VRIES EQUATION FOR MULTIPLE COLLISIONS OF SOLITONS
HIROTA, R
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1972, 33 (05) : 1456 - 1458

← 1 2 3 4 5 →