Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Ken-ichi Maruno"'
Publikováno v:
Physica D: Nonlinear Phenomena. 448:133695
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4af1a748fc1af17e012b6147ae07a238
https://doi.org/10.1016/j.physd.2023.133695
https://doi.org/10.1016/j.physd.2023.133695
Autor:
Kenta Nakata, Ken-ichi Maruno
We propose a systematic method for constructing integrable delay-difference and delay-differential analogues of known soliton equations such as the Lotka-Volterra, Toda lattice, and sine-Gordon equations and their multi-soliton solutions. It is carri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9f6e3437ad4559b5dc95f43a71c859f
http://arxiv.org/abs/2201.09474
http://arxiv.org/abs/2201.09474
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 55:305701
We write down and characterize a large class of nonsingular multi-soliton solutions of the defocusing Davey–Stewartson II equation. In particular we study their asymptotics at space infinities as well as their interaction patterns in the xy-plane,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e954ac84997922b274dc92f907b42ee
https://doi.org/10.1088/1751-8121/ac78db
https://doi.org/10.1088/1751-8121/ac78db
Publikováno v:
Studies in Applied Mathematics. 141:145-185
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1c8b01219ab413369bac430da1eda8f
https://doi.org/10.1111/sapm.12216
https://doi.org/10.1111/sapm.12216
Publikováno v:
Studies in Applied Mathematics. 140:483-507
We propose an integrable discrete model of one-dimensional soil water infiltration. This model is based on the continuum model by Broadbridge and White, which takes the form of nonlinear convection-diffusion equation with a nonlinear flux boundary co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a05c9012721adb1d9cf73e846ab04dcb
https://doi.org/10.1111/sapm.12208
https://doi.org/10.1111/sapm.12208
Publikováno v:
Nonlinearity. 30:2246-2267
Based on our previous work on the Degasperis–Procesi equation (Feng et al J. Phys. A: Math. Theor. 46 045205) and the integrable semi-discrete analogue of its short wave limit (Feng et al J. Phys. A: Math. Theor. 48 135203), we derive an integrable
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66820dca3f34303e7b1cbc73d423ba1d
https://doi.org/10.1088/1361-6544/aa67fc
https://doi.org/10.1088/1361-6544/aa67fc
Publikováno v:
Annals of Mathematical Sciences and Applications. 2:285-316
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50fe015b985227785147d597f8173082
https://doi.org/10.4310/amsa.2017.v2.n2.a4
https://doi.org/10.4310/amsa.2017.v2.n2.a4
Geometric Formulation and Multi‐dark Soliton Solution to the Defocusing Complex Short Pulse Equation
Publikováno v:
Studies in Applied Mathematics. 138:343-367
In the present paper, we study the defocusing complex short pulse (CSP) equations both geometrically and algebraically. From the geometric point of view, we establish a link of the complex coupled dispersionless (CCD) system with the motion of space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::929074ea04acfc451327aac0d578ff06
https://doi.org/10.1111/sapm.12159
https://doi.org/10.1111/sapm.12159
Publikováno v:
Physical review. E. 100(5-1)
The long-wave--short-wave (LWSW) model of Newell type is an integrable model describing the interaction between the gravity wave (long wave) and the capillary wave (short wave) for the surface wave of deep water under certain resonance conditions. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4506bc83eb9f705d7205a62bb080e387
https://pubmed.ncbi.nlm.nih.gov/31869955
https://pubmed.ncbi.nlm.nih.gov/31869955
Autor:
Nozomu Matsuura, Jun-ichi Inoguchi, Yasuhiro Ohta, Hyeongki Park, Ken Ichi Maruno, Kenji Kajiwara
We formulate an isoperimetric deformation of curves on the Minkowski plane, which is governed by the defocusing modified Korteweg-de Vries (mKdV) equation. Two classes of exact solutions to the defocusing mKdV equation are also presented in terms of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::922ed15bb11c142e856506d6a34f29d0
http://arxiv.org/abs/1807.07736
http://arxiv.org/abs/1807.07736