Zobrazeno 1 - 9
of 9
pro vyhledávání: '"39A10, 35Q58"'
An integrable semi-discretization of complex and multi-component coupled dispersionless systems via Lax pairs is presented. A Lax pair is proposed for the complex sdCD system. We derive the Lax pair for the multi-component sdCD system through general
Externí odkaz:
http://arxiv.org/abs/1901.05185
Generalized lattice Heisenberg magnet model is an integrable model exhibiting soliton solutions. The model is physically important for describing the magnon bound states (or soliton excitations) with arbitrary spin, in magnetic materials. In this pap
Externí odkaz:
http://arxiv.org/abs/1901.04671
In this paper, we are concerned with a a semi-discrete complex short pulse (CSP) equation of both focusing and defocusing types, which can be viewed as an analogue to the Ablowitz-Ladik (AL) lattice in the ultra-short pulse regime. By using a general
Externí odkaz:
http://arxiv.org/abs/1901.02388
Autor:
Shi, Ying, Zhao, Junxiao
We obtain the well-known discrete modified Boussinesq equation in two-component form as well as its Lax pair in $3\times3$ matrix form through a 3-periodic reduction technique on the Hirota-Miwa equation and its Lax pair. We describe how Darboux tran
Externí odkaz:
http://arxiv.org/abs/1804.01470
General soliton solutions to a nonlocal nonlinear Schr\"odinger (NLS) equation with PT-symmetry for both zero and nonzero boundary conditions {are considered} via the combination of Hirota's bilinear method and the Kadomtsev-Petviashvili (KP) hierarc
Externí odkaz:
http://arxiv.org/abs/1712.09172
In this paper, we firstly establish the multi-Hamiltonian structure and infinite many conservation laws for the vector Kaup-Newell hierarchy of the positive and negative orders. The first nontrivial negative flow corresponds to a coupled Fokas-Lenell
Externí odkaz:
http://arxiv.org/abs/1611.10057
In the present paper, we are concerned with the general localized solutions for the complex short pulse equation including soliton, breather and rogue wave solutions. With the aid of a generalized Darboux transformation, we construct the $N$-bright s
Externí odkaz:
http://arxiv.org/abs/1511.03544
General soliton solutions to a nonlocal nonlinear Schr\"odinger (NLS) equation with PT-symmetry for both zero and nonzero boundary conditions {are considered} via the combination of Hirota's bilinear method and the Kadomtsev-Petviashvili (KP) hierarc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6b49f7cb0dc9da0106c037c4ef1d0e4
In the present paper, we are concerned with the general localized solutions for the complex short pulse equation including soliton, breather and rogue wave solutions. With the aid of a generalized Darboux transformation, we construct the $N$-bright s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33be9347569ed29d25b98085a93a3f8e