The solitary wave solution of the one-dimensional Ginzburg Landau equations using the tanh method

2015 ◽  
Vol 9 ◽  
pp. 7419-7429
Author(s):  
F. Fonseca
Keyword(s):  
Solitary Wave ◽  
Wave Solution ◽  
Solitary Wave Solution ◽  
Ginzburg Landau ◽  
One Dimensional ◽  
Tanh Method ◽  
Ginzburg Landau Equations ◽  
The One

scholarly journals The Mass Calculation of Solitary Wave Solution of the One-Dimensional Burgers Equation

POSITRON ◽  
2012 ◽  
Vol 2 (1) ◽  
Author(s):  
Teguh B. Prayitno
Keyword(s):  
Solitary Wave ◽  
Wave Solution ◽  
Lagrangian Density ◽  
Burgers Equation ◽  
Solitary Wave Solution ◽  
Classical Field Theory ◽  
Classical Field ◽  
Hamiltonian Density ◽  
One Dimensional ◽  
The One

We have calculated the mass of the solitary wave solution of the one-dimensional Burgers equation by integrating the Hamiltonian density of its equation based on the formulation of the classical field theory. To use this method, we first construct the Lagrangian density in order to obtain the Hamiltonian density by initially introducing the ansatz function of the appropriate field. In this paper, we have obtained that the mass of the solitary of the one-dimensional of Burgers equation is literally divergent.

Solitary-wave solution for a complex one-dimensional field

1976 ◽  
Vol 59 (4) ◽  
pp. 255-258 ◽  
Author(s):  
S. Sarker ◽  
S.E. Trullinger ◽  
A.R. Bishop
Keyword(s):  
Solitary Wave ◽  
Wave Solution ◽  
Solitary Wave Solution ◽  
One Dimensional

Asymptotic analysis of the bifurcation diagram for symmetric one-dimensional solutions of the Ginzburg–Landau equations

1999 ◽  
Vol 10 (5) ◽  
pp. 477-495 ◽  
Author(s):  
A. AFTALION ◽  
S. J. CHAPMAN
Keyword(s):  
Asymptotic Analysis ◽  
Bifurcation Diagram ◽  
Triple Point ◽  
Normal Solution ◽  
Ginzburg Landau ◽  
One Dimensional ◽  
Landau Parameter ◽  
Formal Asymptotics ◽  
Ginzburg Landau Equations ◽  
The One

The bifurcation of symmetric superconducting solutions from the normal solution is considered for the one-dimensional Ginzburg–Landau equations by the methods of formal asymptotics. The behaviour of the bifurcating branch depends upon the parameters d, the size of the superconducting slab, and κ, the Ginzburg–Landau parameter. It was found numerically by Aftalion & Troy [1] that there are three distinct regions of the (κ, d) plane, labelled S1, S2 and S3, in which there are at most one, two and three symmetric solutions of the Ginzburg–Landau system, respectively. The curve in the (κ, d) plane across which the bifurcation switches from being subcritical to supercritical is identified, which is the boundary between S2 and S1∪S3, and the bifurcation diagram is analysed in its vicinity. The triple point, corresponding to the point at which S1, S2 and S3 meet, is determined, and the bifurcation diagram and the boundaries of S1, S2 and S3 are analysed in its vicinity. The results provide formal evidence for the resolution of some of the conjectures of Aftalion & Troy [1].

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