Explicit kink solutions in several one-parameter families of higher-order field theory models

被引:3
|
作者
Khare, Avinash [1 ]
Duzgun, Ayhan [2 ,3 ]
Saxena, Avadh [2 ,3 ]
机构
[1] Savitribai Phule Pune Univ, Phys Dept, Pune 411007, Maharashtra, India
[2] Los Alamos Natl Lab, Theoret Div, Los Alamos, NM 87545 USA
[3] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
来源
关键词
Kink solutions; power-law tails; higher-order field theories; kink-kink interactions; kink stability; STATISTICAL-MECHANICS; SOLITONS;
D O I
10.1142/S0217979221503240
中图分类号
O59 [应用物理学];
学科分类号
摘要
We present several one-parameter families of higher-order field theory models some of which admit explicit kink solutions with an exponential tail while others admit explicit kink solutions with a power-law tail. Various properties of these families of kink solutions are examined in detail. Further, by applying the recent Manton formalism, we provide estimates for the kink-kink (KK) and antikink-kink (AK-K) acceleration and hence the ratio of the corresponding AK-K and KK forces.
引用
收藏
页数:29
相关论文
共 50 条
  • [31] Higher-Order Solutions of Coupled Systems Using the Parameter Expansion Method
    Ganji, S. S.
    Sfahani, M. G.
    Tonekaboni, S. M. Modares
    Moosavi, A. K.
    Ganji, D. D.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2009, 2009
  • [32] One-parameter family of selfdual solutions in classical Yang-Mills theory
    Kamata, M
    Nakamula, A
    PHYSICS LETTERS B, 1999, 463 (2-4) : 257 - 262
  • [33] One-Parameter Families of Conformal Mappings of the Half-Plane onto Polygonal Domains with Several Slits
    A. Posadskii
    S. Nasyrov
    Lobachevskii Journal of Mathematics, 2023, 44 : 1448 - 1463
  • [34] One-Parameter Families of Conformal Mappings of the Half-Plane onto Polygonal Domains with Several Slits
    Posadskii, A.
    Nasyrov, S.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (04) : 1448 - 1463
  • [35] NICEh: a higher-order explicit numerical scheme for integration of constitutive models in plasticity
    Halilovic, Miroslav
    Vrh, Marko
    Stok, Boris
    ENGINEERING WITH COMPUTERS, 2013, 29 (01) : 55 - 70
  • [36] NICEh: a higher-order explicit numerical scheme for integration of constitutive models in plasticity
    Miroslav Halilovič
    Marko Vrh
    Boris Štok
    Engineering with Computers, 2013, 29 : 55 - 70
  • [37] Parameter modeling for higher-order transport models in UTB SOI MOSFETs
    Vasicek, Martin
    Cervenka, Johann
    Wagner, Martin
    Karner, Markus
    Grasser, Tibor
    JOURNAL OF COMPUTATIONAL ELECTRONICS, 2008, 7 (03) : 168 - 171
  • [38] Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models
    J. C. De los Reyes
    C.-B. Schönlieb
    T. Valkonen
    Journal of Mathematical Imaging and Vision, 2017, 57 : 1 - 25
  • [39] Parameter modeling for higher-order transport models in UTB SOI MOSFETs
    Martin Vasicek
    Johann Cervenka
    Martin Wagner
    Markus Karner
    Tibor Grasser
    Journal of Computational Electronics, 2008, 7 : 168 - 171
  • [40] Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models
    De los Reyes, J. C.
    Schonlieb, C. -B.
    Valkonen, T.
    JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2017, 57 (01) : 1 - 25