Results 21 to 30 of about 173,152 (254)
Two-peak soliton in the CKP hierarchy [PDF]
, 2006 We present a systematic approach to the construction of soliton solutions for the 5-reduction of the C-type sub-hierarchy for the Kadomtsev–Petviashvili (CKP) hierarchies starting from the general τ-function τ(n+k) of the Kadomtsev–Petviashvili (KP ...
Cheng, Yi +2 more
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Solitons in 4d Wess-Zumino-Witten models -- Towards unification of integrable systems -- [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe construct soliton solutions of the four-dimensional Wess-Zumino-Witten (4dWZW) model in the context of a unified theory of integrable systems with relation to the 4d/6d Chern-Simons theory.
Masashi Hamanaka, Shan-Chi Huang
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Darboux transformation and dark vector soliton solutions for complex mKdV systems
Partial Differential Equations in Applied Mathematics, 2021 A Darboux transformation and general vector dark soliton solutions are constructed for multi-component complex modified Korteweg–de Vries (mKdV) system.
Rusuo Ye, Yi Zhang, Wen-Xiu Ma
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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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Advances in Mathematical Physics, 2021 An integrable variable coefficient nonlocal nonlinear Schrödinger equation (NNLS) is studied; by employing the Hirota’s bilinear method, the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiying Chen, Xiangpeng Xin, Feng Zhang
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Morphogenesis of sliced N-soliton solutions
Nuclear Physics B, 1976 Consider an instantaneous severing interaction which at t = ts transforms is given N-soliton solution q0 into two new solutions, qL and qR, with discontinuous anitial conditions at t = ts such that qL(qR) is equal to q0 to the left (right) of the severing point xs and vanishes to the right (left) of xs.
George R. Bart, Stanley Fenster
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On the non-integrability of the Popowicz peakon system [PDF]
, 2009 We consider a coupled system of Hamiltonian partial differential equations introduced by Popowicz, which has the appearance of a two-field coupling between the Camassa-Holm and Degasperis-Procesi equations.
Irle, Michael V., Hone, Andrew N.W.
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Advances in Difference Equations, 2019 In this work, the ( 2+1 $2+1$)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation is investigated. Hirota’s bilinear method is used to determine the N-soliton solutions for this equation, from which the M-lump solutions are obtained by using long ...
Yaqing Liu, Xiao-Yong Wen
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Advances in Difference Equations, 2018 Discrete N-fold Darboux transformation (DT) is used to derive new bright and dark multi-soliton solutions of two higher-order Toda lattice equations. Propagation and elastic interaction structures of such soliton solutions are shown graphically.
Nan Liu, Xiao-Yong Wen, Ling Xu
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A bilinear approach to a Pfaffian self-dual Yang-Mills equation [PDF]
, 2001 By using the bilinear technique of soliton theory, a pfaffian version of the SU(2) self-dual Yang-Mills equation and its solution is ...
Gilson, C.R., Ohta, Y., Nimmo, J.J.C.
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