Found 322 Documents (Results 1–100)
Rigorous analysis of the unified transform method and long-range instabilities for the inhomogeneous time-dependent Schrödinger equation on the quarter-plane. (English) Zbl 07892673
Solitons and traveling waves structure for the Schrödinger-Hirota model in fluids. (English) Zbl 1542.35110
Initial-boundary value and interface problems on the real half line for the fractional advection-diffusion-type equation. (English) Zbl 07869376
Long-time asymptotics and the radiation condition with time-periodic boundary conditions for linear evolution equations on the half-line and experiment. (English) Zbl 1542.35061
Solitary wave solution, traveling wave solution and other solutions of variable-coefficients chiral Schrödinger equation. (English) Zbl 07867017
On some soliton structures for the perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in mathematical physics. (English) Zbl 07861271
The Schrödinger-Korteweg-de Vries system on the half-line. (English) Zbl 07856321
Reviewer: Rémi Carles (Rennes)
Long-range instability of linear evolution PDE on semi-bounded domains via the Fokas method. (English) Zbl 1541.35042
Exploring accurate soliton propagation in physical systems: a computational study of the (1+1)-dimensional \(\mathbb{MNW}\) integrable equation. (English) Zbl 07846886
A unified gas-kinetic particle method for frequency-dependent radiative transfer equations with isotropic scattering process on unstructured mesh. (English) Zbl 1536.76096
The Schrödinger equation with cubic nonlinearities on the half-line in low regularity spaces. (English) Zbl 1540.35374
Local well-posedness of the higher-order nonlinear Schrödinger equation on the half-line: single-boundary condition case. (English) Zbl 1539.35225
Integral representations for the double-diffusivity system on the half-line. (English) Zbl 1536.35134
A unified higher-order unsplit CFS-PML technique for solving second-order seismic equations using discontinuous Galerkin method. (English) Zbl 07811345
The Fokas method for the well-posedness of nonlinear dispersive equations in domains with a boundary. (English) Zbl 07916520
Bountis, Tassos (ed.) et al., Chaos, fractals and complexity. Selected papers based on the presentations at the 8th summer school-conference on dynamical systems and complexity, Crete, Greece, July 18–26, 2022. Cham: Springer. Springer Proc. Complex., 347-359 (2023).
MSC:
37-XX
Fokas diagonalization. (English) Zbl 07916517
Bountis, Tassos (ed.) et al., Chaos, fractals and complexity. Selected papers based on the presentations at the 8th summer school-conference on dynamical systems and complexity, Crete, Greece, July 18–26, 2022. Cham: Springer. Springer Proc. Complex., 301-318 (2023).
MSC:
37-XX
Progress in initial-boundary value problems for nonlinear evolution equations and the Fokas method. (English) Zbl 07916515
Bountis, Tassos (ed.) et al., Chaos, fractals and complexity. Selected papers based on the presentations at the 8th summer school-conference on dynamical systems and complexity, Crete, Greece, July 18–26, 2022. Cham: Springer. Springer Proc. Complex., 275-288 (2023).
An unified difference method for the numerical solution of the Troesch’s boundary value problem. (English) Zbl 07831138
Boundary behavior of the solution to the linear Korteweg-de Vries equation on the half line. (English) Zbl 1532.35404
New solutions of the time-fractional Hirota-Satsuma coupled KdV equation by three distinct methods. (English) Zbl 07793966
A virtual element method for overcoming locking phenomena in Biot’s consolidation model. (English) Zbl 1530.65122
The linear Lugiato-Lefever equation with forcing and nonzero periodic or nonperiodic boundary conditions. (English) Zbl 1530.35112
Exact solutions of the fractional time-derivative Fokker-Planck equation: a novel approach. (English) Zbl 1532.35473
A priori error estimates for a semi-Lagrangian unified finite element method for coupled Darcy-transport problems. (English) Zbl 1535.65207
A unified numerical model for simulating heat transfer in flows past porous bodies. (English) Zbl 07772288
An improved coupling of 3D state-based peridynamics with high-order 1D finite elements to reduce spurious effects at interfaces. (English) Zbl 1534.74005
Exact solutions to the fractional complex Ginzburg-Landau equation with time-dependent coefficients under quadratic-cubic and power law nonlinearities. (English) Zbl 1523.35017
Stochastic soliton solutions of conformable nonlinear stochastic systems processed with multiplicative noise. (English) Zbl 1533.81032
A quadratic serendipity finite volume element method on arbitrary convex polygonal meshes. (English) Zbl 1519.65048
Unified stochastic particle simulation of polyatomic gas flows using SPARTACUS. (English) Zbl 1521.76798
Maxwell-Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier. (English) Zbl 1529.35491
Spatial second-order positive and asymptotic preserving unified gas kinetic schemes for radiative transfer equations. (English) Zbl 07730761
New physical structures and patterns to the optical solutions of the nonlinear Schrödinger equation with a higher dimension. (English) Zbl 1519.35268
Field and reverse field solitons in wave-operator nonlinear Schrödinger equation with space-time reverse: modulation instability. (English) Zbl 1519.35281
Traveling-wave solution of the Tzitzéica-type equations by using the unified method. (English. Russian original) Zbl 1516.35354
Theor. Math. Phys. 216, No. 1, 944-960 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 43-62 (2023).
Unified complex variable element-free methods: a comprehensive framework of complex variable meshless approaches. (English) Zbl 07714940
A unified approach to shape and topological sensitivity analysis of discretized optimal design problems. (English) Zbl 1517.49026
The Majda-Biello system on the half-line. (English) Zbl 1523.35246
Reviewer: Igor Leite Freire (São Carlos)
Initial-boundary value problems for the two-component complex modified Korteweg-de Vries equation on the interval. (English) Zbl 1512.35426
A geometrically nonlinear analysis through hierarchical one-dimensional modelling of sandwich beam structures. (English) Zbl 1523.74066
A three-dimensional constitutive model for shape memory alloy considering transformation-induced plasticity, two-way shape memory effect, plastic yield and tension-compression asymmetry. (English) Zbl 1518.74005
Reviewer: Sanda Cleja-Ţigoiu (Bucureşti)
Intertwined charge and spin orders through the exchange-interaction on a square lattice. (English) Zbl 1518.81112
Extended water wave systems of Boussinesq equations on a finite interval: theory and numerical analysis. (English. French summary) Zbl 1504.35359
Effect of the free parameters on the Biswas-Arshed model with a unified technique. (English) Zbl 1540.35098
Langmuir waves trapping in a (1+2) dimensional plasma system. Spectral and modulation stability analysis. (English) Zbl 07851771
Single-traveling-wave and double-wave polynomial solutions of the generalized (3 + 1)-dimensional modified Kadomtsev-Petviashvili equations with variable coefficients. (English) Zbl 1541.35120
Riemann-Hilbert problem associated with the vector Lakshmanan-Porsezian-Daniel model in the birefringent optical fibers. (English) Zbl 1534.35278
Finite strip method based on carrera unified formulation for the free vibration analysis of variable stiffness composite laminates. (English) Zbl 07768025
Self-phase modulation via similariton solutions of the perturbed NLSE modulation instability and induced self-steepening. (English) Zbl 1511.35318
The unified transform method to the high-order nonlinear Schrödinger equation with periodic initial condition. (English) Zbl 1511.35326
The interior-boundary Strichartz estimate for the Schrödinger equation on the half-line revisited. (English) Zbl 1509.35280
The numerical solution of semidiscrete linear evolution problems on the finite interval using the unified transform method. (English) Zbl 1496.65145
UGKS-based implicit iterative method for multiscale nonequilibrium flow simulations. (English) Zbl 1513.76132
New traveling wave solutions for space-time fractional modified equal width equation with beta derivative. (English) Zbl 1502.35039
The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair. (English) Zbl 1496.35170
Continuum soliton chain analog to Heisenberg spin chain system. Modulation stability and spectral characteristics. (English) Zbl 1504.35555
The Korteweg-de Vries equation on the half-line with Robin and Neumann data in low regularity spaces. (English) Zbl 1492.35265
Influence of the free parameters and obtained wave solutions from CBS equation. (English) Zbl 1491.35097
On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a \(4 \times 4\) matrix Lax pair. (English) Zbl 1510.35123
Dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line. (English) Zbl 1490.35103
A reduced unified continuum formulation for vascular fluid-structure interaction. (English) Zbl 1507.76262
The numerical unified transform method for initial-boundary value problems on the half-line. (English) Zbl 07524719
MSC:
65Mxx
An explicit stabilised finite element method for Navier-Stokes-Brinkman equations. (English) Zbl 1515.76093
Automatic generation of statistical volume elements using multibody dynamics and an erosion-based homogenization method. (English) Zbl 1496.74119
On complex soliton solutions, complex elliptic solutions and complex rational function solutions for the Sasa-Satsuma model equation with variable coefficients. (English) Zbl 1487.35162
Inverse seesaw and \((g - 2)\) anomalies in \(B - L\) extended two Higgs doublet model. (English) Zbl 1489.81067
Unified gas-kinetic wave-particle methods. VI: Disperse dilute gas-particle multiphase flow. (English) Zbl 1482.65166
Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks. (English) Zbl 1482.35140
A unified asymptotic preserving and well-balanced scheme for the Euler system with multiscale relaxation. (English) Zbl 1521.76392
A Galerkin-characteristic unified finite element method for moving thermal fronts in porous media. (English) Zbl 1524.76225
An interface-tracking unified continuum model for fluid-structure interaction with topology change and full-friction contact with application to aortic valves. (English) Zbl 07863893
On the Riemann-Hilbert problem of a generalized derivative nonlinear Schrödinger equation. (English) Zbl 1521.35130
The initial boundary value problems for a nonlinear integrable equation with \(3 \times 3\) Lax pair on the finite interval. (English) Zbl 1513.35479
Coupled self-similar-traveling optical wave tunneling induced by an injected light beam. (English) Zbl 1505.78024
Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations. (English) Zbl 1484.35358
The numerical solutions of linear semidiscrete evolution problems on the half-line using the unified transform method. (English) Zbl 07476236
The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach. (English. Russian original) Zbl 1482.81011
Theor. Math. Phys. 209, No. 2, 1537-1551 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 258-273 (2021).
A new approach for solving nonlinear algebraic systems with complementarity conditions. Application to compositional multiphase equilibrium problems. (English) Zbl 1540.90267
Discrete and continuum models of COVID-19 virus, formal solutions, stability and comparison with real data. (English) Zbl 1540.92165
Discrete unified gas kinetic scheme simulation of conjugate heat transfer problems in complex geometries by a ghost-cell interface method. (English) Zbl 1510.76127
A gas-kinetic unified algorithm for non-equilibrium polyatomic gas flows covering various flow regimes. (English) Zbl 1473.35390
The nonlinear Schrödinger equation on the half-line with a Robin boundary condition. (English) Zbl 1478.35191
Reviewer: Anthony D. Osborne (Keele)
Traveling wave solutions for the space-time fractional \((2+1)\)-dimensional Calogero-Bogoyavlenskii-Schiff equation via two different methods. (English) Zbl 1472.35426
Scalar field in Reissner-Nordström spacetime: bound state and scattering state (with appendix on eliminating oscillation in partial sum approximation of periodic function). (English) Zbl 1471.81105
Discrete unified gas kinetic scheme for incompressible Navier-Stokes equations. (English) Zbl 1524.76301
Analytical and meshless numerical approaches to unified gradient elasticity theory. (English) Zbl 1521.74420
Optimality conditions via a unified direction approach for (approximate) efficiency in multiobjective optimization. (English) Zbl 1470.90118
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