Results 51 to 60 of about 1,146 (297)
Dynamics of lump-periodic and breather waves solutions with variable coefficients in liquid with gas bubbles [PDF]
, 2021 Lump solutions are empirical rational function solutions found in all directions in space. One of the essential solutions to both linear and nonlinear partial differential equations is lump solutions.
Sulaiman, Tukur Abdulkadir +1 more
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The rogue wave and breather solution of the Gerdjikov-Ivanov equation [PDF]
Journal of Mathematical Physics, 2012 The Gerdjikov-Ivanov (GI) system of q and r is defined by a quadratic polynomial spectral problem with 2 × 2 matrix coefficients. Each element of the matrix of n-fold Darboux transformation (DT) for this system is expressed by a ratio of (n + 1) × (n + 1) determinant and n × n determinant of eigenfunctions, which implies the determinant representation ...
Xu, Shuwei, He, Jingsong
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Breathers and rogue waves for semilinear curl-curl wave equations
Journal of Elliptic and Parabolic Equations, 2023 AbstractWe consider localized solutions of variants of the semilinear curl-curl wave equation $$s(x) \partial _t^2 U +\nabla \times \nabla \times U + q(x) U \pm V(x) \vert U \vert ^{p-1} U = 0$$ s ( x )
Michael Plum, Wolfgang Reichel
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Mathematics, 2023 A (3+1)-dimensional generalized Yu–Toda–Sasa–Fukuyama equation is considered systematically. N-soliton solutions are obtained using Hirota’s bilinear method.
Jian Zhang +3 more
doaj +1 more source
Laser‐Induced Graphene from Waste Almond Shells
Advanced Functional Materials, EarlyView.Almond shells, an abundant agricultural by‐product, are repurposed to create a fully bioderived almond shell/chitosan composite (ASC) degradable in soil. ASC is converted into laser‐induced graphene (LIG) by laser scribing and proposed as a substrate for transient electronics.
Yulia Steksova +9 more
wiley +1 more source
Results in Physics, 2022 In this work, a new extended integrable (2+1)-dimensional Kadomtsev–Petviashvili equation is proposed and investigated, which models slowly varying perturbation wave in dispersion fluids.
Lingfei Li +3 more
doaj +1 more source
Modulational instability and rogue waves in shallow water models
, 2016 It is now well known that the focussing nonlinear Schrödinger equation allows plane waves to be modulationally unstable, and at the same time supports breather solutions which are often invoked as models for rogue waves. This suggests a direct connection
Grimshaw, R +5 more
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Soliton–Breather Interaction: The Modified Korteweg–de Vries Equation Framework
, 2020 Pairwise interactions of particle-like waves (such as solitons and breathers) are important elementary processes that play a key role in the formation of the rarefied soliton gas statistics.
Ekaterina Didenkulova, Efim Pelinovsky
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Advanced Functional Materials, EarlyView.Flexible piezoresistive pressure sensors underpin wearable and soft electronics. This review links sensing physics, including contact resistance modulation, quantum tunneling and percolation, to unified materials/structure design. We highlight composite and graded architectures, interfacial/porous engineering, and microstructured 3D conductive networks
Feng Luo +2 more
wiley +1 more source
, 2017 We study a (2 + 1)-dimensional generalized Kadomtsev–Petviashvili (gKP) equation, which characterizes the formation of patterns in liquid drops. By using Bell’s polynomials, an effective way is employed to succinctly construct the bilinear form of the ...
Li Zou +4 more
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