Results 91 to 100 of about 40,499 (216)
Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 6492-6506, 15 May 2026.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
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Nanophotonics, Volume 15, Issue 9, 13 May 2026.This perspective surveys emerging quantum and classical photonic applications across operating wavelengths and timescales, highlighting persistent technological gaps in integrated light sources. We examine the unique advantages of quadratic nonlinear photonics on the thin‐film lithium niobate (TFLN) platform and discuss strategies for realizing ...
Meng Tian +7 more
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N-soliton solutions of an integrable equation studied by Qiao
, 2011 In this paper, we studied N-soliton solutions of an integrable equation.
Zhaqilaoa, Qiao, Zhijun
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Affine Solitons: A Relation Between Tau Functions, Dressing and B\"acklund Transformations
, 1992 We reconsider the construction of solitons by dressing transformations in the sine-Gordon model. We show that the $N$-soliton solutions are in the orbit of the vacuum, and we identify the elements in the dressing group which allow us to built the $N ...
Babelon, Olivier, Bernard, Denis
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Heat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
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Results in PhysicsThe central target of this research is looking into some novel solutions of the (3 + 1)-dimensional nonlinear evolution equation (NEE) for the shallow water waves.
Kang-Jia Wang +3 more
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On Non‐Compact Extended Bach Solitons
Mathematische Nachrichten, Volume 299, Issue 5, Page 1140-1151, May 2026.ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
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The N -soliton solution of the Benjamin-Ono equation [PDF]
Proceedings of the National Academy of Sciences, 1978 A theorem is deduced that reduces the problem of finding the N -soliton solution of the Benjamin-One equation to that of solving an algebraic equation of degree N .
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Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.Abstract The Surface Water and Ocean Topography (SWOT) satellite observations are shown to agree well with tide gauge and underwater glider data in the Northeast Pacific. The SWOT mission measures sea surface height in a 120‐km wide swath. It had a 1‐day repeat cycle for 3 months in 2023.
Guoqi Han +3 more
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