Found 4,010 Documents (Results 1–100)
Nonlinear embeddings for conserving Hamiltonians and other quantities with neural Galerkin schemes. (English) Zbl 07931255
Symmetry and monotonicity of singular solutions to \(p\)-Laplacian systems involving a first order term. (English) Zbl 07930858
A remark on solutions to semilinear equations with Robin boundary conditions. (English) Zbl 07928840
Symmetry and monotonicity of positive solutions for a Choquard equation involving the logarithmic Laplacian operator. (English) Zbl 07925110
On recursion operators for full-fledged nonlocal symmetries of the reduced quasi-classical self-dual Yang-Mills equation. (English) Zbl 07924604
Symmetric solutions for some elliptic equation on spherical cap of \(\mathrm{S}^n\). (English) Zbl 07919761
Lie symmetry analysis of the Charney-Hasegawa-Mima equation. (English) Zbl 07919725
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 427-435 (2024).
A direct method of moving planes for logarithmic Schrödinger operator. (English) Zbl 07917958
Ruzhansky, Michael (ed.) et al., Extended abstracts MWCAPDE 2023. Methusalem workshop on classical analysis and partial differential equations. Selected papers, Ghent, Belgium, February 27 – March 1, 2023. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 1, 225-235 (2024).
Group analysis, reductions, and exact solutions of the Monge-Ampère equation in magnetic hydrodynamics. (English. Russian original) Zbl 07917703
Differ. Equ. 60, No. 6, 716-728 (2024); translation from Differ. Uravn. 60, No. 6, 750-763 (2024).
Sharp boundary concentration for a two-dimensional nonlinear Neumann problem. (English) Zbl 07916678
Multiplicity and symmetry breaking for supercritical elliptic problems in exterior domains. (English) Zbl 07916676
On \(k\)-wave solutions of quasilinear systems of partial differential equations. (English) Zbl 07915229
Spectral problem for the complex mKdV equation: singular manifold method and Lie symmetries. (English) Zbl 07915228
Global spherically symmetric solutions for a coupled compressible Navier-Stokes/Allen-Cahn system. (English) Zbl 07914964
Some rigidity results and asymptotic properties for solutions to semilinear elliptic P.D.E. (English) Zbl 07912346
Self-similar solutions of the relativistic Euler system with spherical symmetry. (English) Zbl 07910865
Localized waves on the periodic background for the Hermitian symmetric space derivative nonlinear Schrödinger equation. (English) Zbl 07903722
An abstract instability theorem of the bound states for Hamiltonian PDEs and its application. (English) Zbl 07902642
Inviscid limit problem of radially symmetric stationary solutions for compressible Navier-Stokes equation. (English) Zbl 07901693
On spherically symmetric solutions for the equations of heat-conducting and compressible fluids. (English) Zbl 07901509
Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies. (English) Zbl 07901502
Maximum principles and monotonicity of solutions to fractional \(p\)-Laplacian operator with the Hardy potential. (English) Zbl 07900936
Self-similar blow-up solutions in the generalised Korteweg-de Vries equation: spectral analysis, normal form and asymptotics. (English) Zbl 07900889
Extended symmetry analysis of (1+2)-dimensional fine Kolmogorov backward equation. (English) Zbl 07899499
Smooth subsonic and transonic spiral flows with nonzero vorticity to steady Euler-Poisson system in concentric cylinders. (English) Zbl 07897517
Saddle solutions for the planar Schrödinger-Poisson system with exponential growth. (English) Zbl 07897462
Symmetries and decomposition of systems of partial differential equations and control systems with distributed parameters. (English) Zbl 07897444
Nonlinear panel flutter. Bolotin’s problem in the presence of viscous friction. (English. Russian original) Zbl 07897409
J. Math. Sci., New York 283, No. 3, 390-396 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 186, 45-51 (2020).
Asymptotic behavior of spherically symmetric solutions to the compressible Navier-Stokes equation towards stationary waves. (English) Zbl 07896253
A study of the exact solutions and conservation laws of the classical Lonngren wave equation for communication signals. (English) Zbl 07894865
Symmetry of solutions to a class of geometric equations for hypersurfaces in \(\mathbb{R}^{n + 1}\). (English) Zbl 07893983
Ground state solutions for a \((p, q)\)-Choquard equation with a general nonlinearity. (English) Zbl 07893979
Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation. (English) Zbl 07888721
Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations. (English) Zbl 07888212
Higher-dimensional integrable deformations of the classical Boussinesq-Burgers system. (English) Zbl 07887673
Construction of conservation laws for the Gardner equation, Landau-Ginzburg-Higgs equation, and Hirota-Satsuma equation. (English) Zbl 07887658
Conserved vectors and symmetry solutions of the Landau-Ginzburg-Higgs equation of theoretical physics. (English) Zbl 07887642
Sliding method and one-dimensional symmetry for \(p\)-Laplace equations. (English) Zbl 07885769
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 4, Paper No. 141, 19 p. (2024).
Exponential decay of solutions to an inertial model for a wave equation with viscoelastic damping and time varying delay. (English) Zbl 1543.35032
Dynamics of the breather and solitary waves in plasma using the generalized variable coefficient Gardner equation. (English) Zbl 07880536
Conservation, convergence, and computation for evolving heterogeneous elastic wires. (English) Zbl 1543.35089
Symmetry breaking for ground states of biharmonic NLS via Fourier extension estimates. (English) Zbl 1542.35143
A Liouville theorem and radial symmetry for dual fractional parabolic equations. (English) Zbl 1542.35096
Extensions of the symmetry algebra and Lax representations for the two-dimensional Euler equation. (English) Zbl 1542.35300
Lie symmetries, solitary wave solutions, and conservation laws of coupled KdV-mKdV equation for internal gravity waves. (English) Zbl 07871692
On the optimal shape of a thin insulating layer. (English) Zbl 07870728
Reviewer: Igor Bock (Bratislava)
Discrete group method for a mathematical model of the diffusion in swelling gelatin. (English) Zbl 1542.35022
Lie symmetry, exact solutions and conservation laws of time fractional Black-Scholes equation derived by the fractional Brownian motion. (English) Zbl 1541.35513
Classification of the two-component Benjamin-Ono systems. (English. Russian original) Zbl 1541.37077
Theor. Math. Phys. 219, No. 1, 638-662 (2024); translation from Teor. Mat. Fiz. 219, No. 1, 124-150 (2024).
Symmetry breaking and instability for semilinear elliptic equations in spherical sectors and cones. (English. French summary) Zbl 1542.35167
Extended Lie method for mixed fractional derivatives, unconventional invariants and reduction, conservation laws and acoustic waves propagated via nonlinear dispersive equation. (English) Zbl 1542.35416
Nonlinear dynamic longitudinal deformation of a viscoelastic rod with power-law nonlinearity. (English) Zbl 07862475
Conservation laws and variational structure of damped nonlinear wave equations. (English) Zbl 07861234
The (2+1)-dimensional generalized Benjamin-Ono equation: nonlocal symmetry, CTE solvability and interaction solutions. (English) Zbl 07858940
Monotonicity of solutions to degenerate \(p\)-Laplace problems with a gradient term in half-spaces. (English) Zbl 1540.35227
Semi-Riemannian manifolds with linear differential conditions on the curvature. (English) Zbl 1542.53028
Properties of positive solutions for the fractional Laplacian systems with positive-negative mixed powers. (English) Zbl 1541.35540
Periodic transmission theory of circularly symmetric multi-ring solitons in nonlinear Schrödinger equation. (English) Zbl 07850558
Nonlocal symmetry and group invariant solutions of dissipative \((2+1)\)-dimensional AKNS equation. (English) Zbl 07850552
The formation of invariant exact optical soliton solutions of Landau-Ginzburg-Higgs equation via Khater analytical approach. (English) Zbl 1541.35474
Standing waves and global well-posedness for the 2d Hartree equation with a point interaction. (English) Zbl 1541.35455
Monotonicity and one-dimensional symmetry of solutions for the weighted fractional parabolic equations on the whole space. (English) Zbl 1537.35387
Conservation laws, Lie symmetries, self adjointness, and soliton solutions for the Selkov-Schnakenberg system. (English) Zbl 1537.35303
Group properties and similarity transformations for generalized peakon equation with cubic nonlinearities. (English) Zbl 1537.35025
Fractional-order effect on soliton wave conversion and stability for the two-Lévy-index fractional nonlinear Schrödinger equation with PT-symmetric potential. (English) Zbl 1541.35470
Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system. (English) Zbl 1541.35433
An upper bound for the least energy of a sign-changing solution to a zero mass problem. (English) Zbl 1540.35195
Reviewer: Marius Ghergu (Dublin)
Moving planes and sliding methods for fractional elliptic and parabolic equations. (English) Zbl 1537.35370
Sliding methods for dual fractional nonlinear divergence type parabolic equations and the Gibbons’ conjecture. (English) Zbl 1537.35377
Multiplicity and concentration of normalized solutions to \(\mathrm{p}\)-Laplacian equations. (English) Zbl 1539.35120
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