The explicit solution and its soliton molecules in the (2+1)-dimensional pKP–BKP equation
Results in Physics, 2022 One N-soliton solution of the (2+1)-dimensional combined potential Kadomtsev–Petviashvili (pKP) with B-type Kadomtsev–Petviashvili (BKP) equation, which involves the soliton molecules, is constructed with the aid of its Hirota bilinear form.
Zheng-YI Ma, Jin-Xi Fei
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A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]
, 2005 We consider a special class of solutions of the BKP hierarchy which we call $\tau$-functions of hypergeometric type. These are series in Schur $Q$-functions over partitions, with coefficients parameterised by a function of one variable $\xi$, where the ...
Orlov, A.Y., Nimmo, J.J.C.
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A note on loop-soliton solutions of the short-pulse equation [PDF]
, 2010 It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly into N separate soliton elements by using a Moloney-Hodnett type decomposition.
E.J. Parkes, Parkes, E.J.
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The soliton solutions and evolution of the (2+1)-dimensional dissipative long wave equation
Results in Physics, 2021 With the help of Mathematica symbolic calculation software, the new soliton solutions of the (2 + 1)-dimensional dissipative long wave equation were obtained by utilizing the exp(-Φ(ξ)) expansion method and the variable separation method, which include ...
Juan Yang, Qingjiang Feng
doaj +1 more source
Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method [PDF]
, 2009 The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution.
Abbasbandy, S., Parkes, E.J.
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Journal of Advanced Research, 2022 Introduction: The Gross-Pitaevskii equation is a class of the nonlinear Schrödinger equation, whose exact solution, especially soliton solution, is proposed for understanding and studying Bose-Einstein condensate and some nonlinear phenomena occurring in
Haotian Wang, Qin Zhou, Wenjun Liu
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Removing tadpoles in a soliton sector
Journal of High Energy Physics, 2021 It has long been known that perturbative calculations can be performed in a soliton sector of a quantum field theory by using a soliton Hamiltonian, which is constructed from the defining Hamiltonian by shifting the field by the classical soliton ...
Jarah Evslin, Hengyuan Guo
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M-Breather, Lumps, and Soliton Molecules for the 2+1-Dimensional Elliptic Toda Equation
Advances in Mathematical Physics, 2021 The 2+1-dimensional elliptic Toda equation is a higher dimensional generalization of the Toda lattice and also a discrete version of the Kadomtsev-Petviashvili-1 (KP1) equation. In this paper, we derive the M-breather solution in the determinant form for
Yuechen Jia, Yu Lu, Miao Yu, Hasi Gegen
doaj +1 more source
Retrieval of Optical Solitons with Anti-Cubic Nonlinearity
Mathematics, 2023 Purpose: In this article, two main subjects are discussed. First, the nonlinear Schrödinger equation (NLSE) with an anti-cubic (AC) nonlinearity equation is examined, which has a great working area, importance and popularity among the study areas of ...
Muslum Ozisik +9 more
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Effects of Spin-Dependent Polariton-Polariton Interactions in Semiconductor Microcavities: Spin Rings, Bright Spatial Solitons and Soliton Patterns [PDF]
, 2013 Semiconductor microcavity polaritons are composite half-light half-matter quasiparticles that arise from strong coupling of photons and excitons in semiconductor microcavities.
Sich, Maksym
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