Complexiton solutions to soliton equations by the Hirota method
Copyright policy )Complexiton solutions to soliton equations by the Hirota method
We apply the Hirota direct method to construct complexiton solutions (complexitons). The key is to use Hirota bilinear forms. We prove that taking pairs of conjugate wave variables in the 2N-soliton solutions generates N-complexion solutions. The general theory is used to construct multi-complexion solutions to the Korteweg–de Vries equation.
- Florida Southern College United States
- University of South Florida St. Petersburg United States
- University of South Florida United States
Soliton equations, Hirota direct method, KdV equations (Korteweg-de Vries equations), Soliton solutions, Korteweg-de Vries equation, Hirota bilinear form, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), 530, 510
Soliton equations, Hirota direct method, KdV equations (Korteweg-de Vries equations), Soliton solutions, Korteweg-de Vries equation, Hirota bilinear form, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), 530, 510
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).52 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 1% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!