In this article we examine different ways of introducing nonlocal effects in the complex modified Korteweg-de Vries (cmKdV) equation. Four possible nonlocal generalizations of the cmKdV equation are presented. In these variants of the cmKdV equation the nonlinear term has been replaced by one, ...
Using the transformation, solitons, breathers and rational solutions to the complex Korteweg-de Vries equation are obtained from those of the modified Korteweg-de Vries equation. Dynamics of the obtained solutions are illustrated. 展开 关键词: blow-up non-singular solutions complex Korteweg-de Vries ...
The dynamics of the poles of the two soliton solutions of the modified Korteweg-de Vries equation;u(t) + 6u(2)u(x) + u(xxx) - 0;are investigated. A consequence of this study is the existence of classes of smooth, complex valued solutions of this equation, defined for -infinity infini...
关键词: solitons complex modified korteweg-de vries equation vakhitov-kolokolov criterion variational analysis DOI: 10.1088/1751-8113/40/50/001 被引量: 14 年份: 2007 收藏 引用 批量引用 报错 分享 全部来源 免费下载 求助全文 全文购买 iopscience.iop.org 国家科技图书文献中心 (权威机构) 掌桥科研 ...
For many important integrable systems such as the Korteweg–de Vries (KdV) equation, there is no nonsingular positon. But negatons can be both singular and nonsingular. Especially, the nonsingular negatons are just the solitons which have been studied extensively. The known complexitons for (...
关键词: Theoretical or Mathematical/ Korteweg-de Vries equation solitons symbol manipulation/ soliton solutions coupled KdV equation coupled modified KdV equation generalized tanh method symbolic computation Miura transformation/ A0340K Waves and wave propagation: general mathematical aspects ...
solutionscomplexitonKorteweg-deThe coupled Korteweg-de Vries (CKdV) equation with self-consistent sources (CKdVESCS) and its Lax representation are derived... YH Huang,HX Wu,X Xie,... - 《Communications in Theoretical Physics》 被引量: 7发表: 2008年 A Coupled Hybrid Lattice: Its Related Co...
For the discrete potential Korteweg–de Vries (KdV) equations [Math Processing Error]Xj+1i+1=Xji+ZjiXji+1−Xj+1i in [42], we can firstly consider the nonlinear partial difference equation [Math Processing Error]f(z1+c1,z2+c2)=f(z1,z2)+A(z1,z2)f(z1,z2+c2)−f(z1+c1,...
Karney, C.F.F., Sen, A., Chu, F.Y.F. (1978). The complex modified Korteweg - de Vries equation, a non-integrable evolution equation in A.R. Bishop & T. Schneider (Eds), Solitons and condensed matter physics, Springer, p 71-75....
modified Korteweg–de Vries equationsoliton solutionrational travelling wavesasymptotic analysisIn this paper, based on the robust inverse scattering method, we construct two kinds of solutions to the focusing modified Korteweg鈥揹e Vries equation. One is the classical soliton solution under the zero ...