Solitons in cyclic symmetric field theories

“…. In this more general context, several works have developed analytical solutions, which, in turn, has allowed one to study their stability and to use them in application of interest in physics [29][30][31][32][33][34][35][36][37][38][39][40]. Other investigations have dealt with the presence of junctions and/or intersections of defects [41][42][43][44], and with issues related to composite-kink internal structures, twinlike models with several fields and scalar triplet on domain walls [45][46][47][48][49][50][51][52][53][54][55][56][57], among other issues.…”

Section: Introductionmentioning

confidence: 99%

Scattering of kinks of the sinh-deformed $φ^4$ model

Bazeia,

Belendryasova,

Gani

2017

Preprint

View full text Add to dashboard Cite

We consider the scattering of kinks of the sinh-deformed ϕ 4 model, which is obtained from the well-known ϕ 4 model by means of the deformation procedure. Depending on the initial velocity v in of the colliding kinks, different collision scenarios are realized. There is a critical value v cr of the initial velocity, which separates the regime of reflection (at v in > v cr ) and that of a complicated interaction (at v in < v cr ) with kinks' capture and escape windows. Besides that, at v in below v cr we observe the formation of a bound state of two oscillons, as well as their escape at some values of v in .

show abstract

“…Also, the presence of two real scalar fields makes the investigation more realistic, enhancing the power for applications in a diversity of scenarios, as one can see, e.g., in Refs. [1,2,[4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] and in other works quoted therein.…”

Section: Introductionmentioning

confidence: 99%

Kinklike structures in scalar field theories: From one-field to two-field models

2013

View full text Add to dashboard Cite

In this paper we study the possibility of constructing two-field models from one-field models. The idea is to start with a given one-field model and use the deformation procedure to generate another one-field model, and then couple the two one-field models nontrivially, to get to a two-field model, together with some explicit topological solutions. We show with several distinct examples that the procedure works nicely and can be used generically.

show abstract

Solitons in cyclic symmetric field theories

Cited by 14 publications

References 9 publications

Soliton stability in a Z(2) field theory

Soliton stability in a Z(2) field theory

Scattering of kinks of the sinh-deformed $φ^4$ model

Kinklike structures in scalar field theories: From one-field to two-field models

Contact Info

Product

Resources

About