Time-periodic solutions of Hamiltonian PDEs using pseudoholomorphic curves [PDF]
Algebraic & Geometric Topology, 2023 We prove the existence of a forced time-periodic solution to general nonlinear Hamiltonian PDEs by using pseudoholomorphic curves as in symplectic homology theory.
Oliver Fabert, Niek Lamoree
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Traveling wave solutions to the Boussinesq equation via Sardar sub-equation technique
AIMS Mathematics, 2022 In present study, the Boussinesq equation is obtained by means of the Sardar Sub-Equation Technique (SSET) to create unique soliton solutions containing parameters. Using this technique, different solutions are obtained, such as the singular soliton, the
Hamood-Ur-Rahman +9 more
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Global exponential stability and existence of periodic solutions of fuzzy wave equations
Advances in Difference Equations, 2020 In this paper, the global exponential stability and the existence of periodic solutions of fuzzy wave equations are investigated. By variable substitution the system of partial differential equations (PDEs) is transformed from second order to first order.
Wei Liu, Yimin Lou
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Regularity of Time-Periodic Solutions to Autonomous Semilinear Hyperbolic PDEs [PDF]
Journal of Mathematical Analysis and Applications, 2023 Irina Kmit, Lutz Recke
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Axioms, 2023 This paper outlines a study into the exact solutions of the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation that is used to illustrate the ferromagnetic materials of magnetic ordering by applying two recent techniques, namely, the Sardar ...
Feng Shi, Kang-Jia Wang
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Computer assisted proof of branches of stationary and periodic solutions, and Hopf bifurcations, for dissipative PDEs [PDF]
Communications in nonlinear science & numerical simulation, 2021 Gianni Arioli
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Advances in Mathematical Physics, 2018 We apply the generalized projective Riccati equations method with the aid of Maple software to construct many new soliton and periodic solutions with parameters for two higher-order nonlinear partial differential equations (PDEs), namely, the nonlinear ...
A. M. Shahoot +3 more
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Conservation law, Chupin Liu’s theorem and propagation of pulses in optical metamaterials modeled by NLSE with power law nonlinearity [PDF]
Scientific ReportsThis paper devote to investigate plenteous optical and other soliton solutions to the generalized nonlinear Schrödinger equation with the parabolic nonlinear (NL) law by employing two analytical techniques. The analytical schemes are the improved $$\exp (
He Zhu +6 more
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Families of Periodic Solutions for Some Hamiltonian PDEs
SIAM Journal on Applied Dynamical Systems, 2017 Gianni Arioli, Hans Koch
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Exploring novel solitary wave phenomena in Klein–Gordon equation using $$\phi ^{6}$$ ϕ 6 model expansion method [PDF]
Scientific ReportsIn this study, the $$\phi ^{6}$$ ϕ 6 -model expansion method is showed to be useful for finding solitary wave solutions to the Klein–Gordon (KG) equation.
Yasir A. Madani +5 more
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