Found 353 Documents (Results 1–100)
Dynamics of optical solitons in the extended \((3+1)\)-dimensional nonlinear conformable Kudryashov equation with generalized anti-cubic nonlinearity. (English) Zbl 07869331
Fundamental and dipole gap solitons and their dynamics in the cubic-quintic fractional nonlinear Schrödinger model with a \(\mathcal{PT}\)-symmetric lattice. (English) Zbl 07868597
Variational principle and optical soliton solutions for some types of nonlinear Schrödinger dynamical systems. (English) Zbl 07867024
Nonlinear tunneling of chirped similaritons in non-centrosymmetric waveguides with quadratic-cubic nonlinearity. (English) Zbl 07866180
Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit. (English. Russian original) Zbl 07864570
Theor. Math. Phys. 219, No. 1, 531-538 (2024); translation from Teor. Mat. Fiz. 219, No. 1, 3-11 (2024).
Reviewer: Hajer Bahouri (Paris)
Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation. (English) Zbl 1541.35502
On Soliton solutions for higher-order nonlinear Schrödinger equation with cubic-quintic-septic law. (English) Zbl 1539.35231
Controllable nonlinear waves in graded-index waveguides (GRIN). (English) Zbl 07821829
SpringerBriefs in Applied Sciences and Technology. Singapore: Springer (ISBN 978-981-97-0440-8/pbk; 978-981-97-0441-5/ebook). x, 77 p. (2024).
Reviewer: Radosław Szmytkowski (Gdańsk)
Global solutions of \(2\)-\(D\) cubic Dirac equation with non-compactly supported data. (English) Zbl 1532.35079
Eigenvalue analysis of the Lax operator for the one-dimensional cubic nonlinear defocusing Schrödinger equation. (English) Zbl 1533.35316
Reviewer: Xiaoming He (Beijing)
Nonlinear waves, modulations and rogue waves in the modular Korteweg-de Vries equation. (English) Zbl 1527.35361
Dynamic analysis on optical pulses via modified PINNs: soliton solutions, rogue waves and parameter discovery of the CQ-NLSE. (English) Zbl 1528.35172
Dispersive estimates for the Schrödinger equation in a model convex domain and applications. (English) Zbl 1523.58028
Nonlinear modulational instabililty of the Stokes waves in 2D full water waves. (English) Zbl 1522.76012
Reviewer: Changxing Miao (Beijing)
Soliton solutions of the resonant nonlinear Schrödinger equation using modified auxiliary equation method with three different nonlinearities. (English) Zbl 1540.35094
Two-dimensional fractional \(\mathcal{PPT}\)-symmetric cubic-quintic NLS equation: double-loop symmetry breaking bifurcations, ghost states and dynamics. (English) Zbl 1514.35476
Unconditionally optimal error estimate of mass- and energy-stable Galerkin method for Schrödinger equation with cubic nonlinearity. (English) Zbl 1500.65074
Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation. (English) Zbl 07836908
Lie symmetry analysis and exact solutions of space-time fractional cubic Schrödinger equation. (English) Zbl 07818884
Symmetric and antisymmetric vector solitons for the fractional quadric-cubic coupled nonlinear Schrödinger equation. (English) Zbl 1511.35379
An effective technique for the conformable space-time fractional cubic-quartic nonlinear Schrödinger equation with different laws of nonlinearity. (English) Zbl 1524.35110
Nonlinear dynamical modelling of high frequency electrostatic drift waves using fluid theoretical approach in magnetized plasma. (English) Zbl 1504.76108
Modulation instability gain and nonlinear modes generation in discrete cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1516.35380
On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential. (English) Zbl 1503.35208
Normalized solutions with positive energies for a coercive problem and application to the cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1497.35434
Heisenberg supermagnetic hierarchy with the quadratic and cubic constraints. (English) Zbl 1498.81072
On vortex and dark solitons in the cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1492.35091
Galerkin methods for the numerical solution of the Schrödinger equation by using trigonometric B-splines. (English) Zbl 1499.65512
Dispersive optical solitons along with integrability test and one soliton transformation for saturable cubic-quintic nonlinear media with nonlinear dispersion. (English) Zbl 1490.35098
Sharp scattering for the cubic-quintic nonlinear Schrödinger equation in the focusing-focusing regime. (English) Zbl 1490.35431
Modified scattering for the nonlinear nonlocal Schrödinger equation in one-dimensional case. (English) Zbl 1479.35793
Soliton solutions for anti-cubic nonlinearity using three analytical approaches. (English) Zbl 07907270
Dark matter-wave gap solitons of Bose-Einstein condensates trapped in optical lattices with competing cubic-quintic nonlinearities. (English) Zbl 1498.81085
Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension. (English) Zbl 1498.35161
Breathers, cascading instabilities and Fermi-Pasta-Ulam-Tsingou recurrence of the derivative nonlinear Schrödinger equation: effects of ‘self-steepening’ nonlinearity. (English) Zbl 1491.76034
Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension. (English) Zbl 1473.35058
An efficient approach for solving nonlinear multidimensional Schrödinger equations. (English) Zbl 1521.65099
On the derivative nonlinear Schrödinger equation with weakly dissipative structure. (English) Zbl 1476.35243
Soliton solutions of higher order dispersive cubic-quintic nonlinear Schrödinger equation and its applications. (English) Zbl 07833195
Exponential collocation methods based on continuous finite element approximations for efficiently solving the cubic Schrödinger equation. (English) Zbl 07777670
Coupled cubic-quintic nonlinear Schrödinger equation: novel bright-dark rogue waves and dynamics. (English) Zbl 1516.35390
Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity. (English) Zbl 1489.35301
Radiation dynamics in fast soliton collisions in the presence of cubic loss. (English) Zbl 1490.81085
Optical solitons in metamaterials dominated by anti-cubic nonlinearity and Hamiltonian perturbations. (English) Zbl 1468.35182
Cubic-quartic optical soliton perturbation and conservation laws with Kudryashov’s law of refractive index. (English) Zbl 1448.78049
On a damped Szegö equation (with an appendix in collaboration with Christian Klein). (English) Zbl 1448.35022
New extended generalized Kudryashov method for solving three nonlinear partial differential equations. (English) Zbl 1508.35163
Radial ground state sign-changing solutions for asymptotically cubic or super-cubic fractional Schrödinger-Poisson systems. (English) Zbl 1436.35154
New Jacobi elliptic solutions and other solutions with quadratic-cubic nonlinearity using two mathematical methods. (English) Zbl 1439.35017
Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1435.35365
New exact solutions of the space-time fractional cubic Schrödinger equation using the new type F-expansion method. (English) Zbl 1505.35356
Dark-bright optical solitary waves and modulation instability analysis with \((2 + 1)\)-dimensional cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1505.78028
Structure of optical solitons of resonant Schrödinger equation with quadratic cubic nonlinearity and modulation instability analysis. (English) Zbl 07570671
MSC:
82-XX
A flexible symplectic scheme for two-dimensional Schrödinger equation with highly accurate RBFs quasi-interpolation. (English) Zbl 1499.65729
Modified scattering for the one-dimensional cubic NLS with a repulsive delta potential. (English) Zbl 1479.35812
Analytical and approximate solutions for complex nonlinear Schrödinger equation via generalized auxiliary equation and numerical schemes. (English) Zbl 1452.35189
Generalized solution to multidimensional cubic Schrödinger equation with delta potential. (English) Zbl 1428.35504
A Fourier integrator for the cubic nonlinear Schrödinger equation with rough initial data. (English) Zbl 1422.65222
Cubic-quintic nonlinear Helmholtz equation: modulational instability, chirped elliptic and solitary waves. (English) Zbl 1421.35344
Split-step cubic B-spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions with Neumann boundary conditions. (English) Zbl 1422.65292
Remark on the persistence of spatial analyticity for cubic nonlinear Schrödinger equation on the circle. (English) Zbl 1420.35382
Matter wave soliton solutions for driven Gross-Pitaevskii equation with distributed coefficients. (English) Zbl 1415.35255
A survey of the Szegő equation. (English) Zbl 1428.35067
Reviewer: Alessandro Selvitella (Fort Wayne)
On the cubic lowest Landau level equation. (English) Zbl 1412.82034
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Wellposedness for semirelativistic Schrödinger equation with power-type nonlinearity. (English) Zbl 1406.35370
Bifurcations and exact solutions of nonlinear Schrödinger equation with an anti-cubic nonlinearity. (English) Zbl 1462.34051
Vortex and multipole coupled solitons in the spatially modulated cubic-quintic-septimal nonlinear material. (English) Zbl 1442.35415
Solitons in multi-body interactions for a fully modulated cubic-quintic Gross-Pitaevskii equation. (English) Zbl 1480.35094
Stability satisfied numerical approximates to the non-analytical solutions of the cubic Schrödinger equation. (English) Zbl 1427.65249
Quantum hydrodynamic approximations to the finite temperature trapped Bose gases. (English) Zbl 1415.76769
Variational statement of the Schrödinger equation with a nonstationary nonlinearity and its integrals of motion. (English. Russian original) Zbl 1420.35277
Differ. Equ. 54, No. 10, 1394-1398 (2018); translation from Differ. Uravn. 54, No. 10, 1420-1424 (2018).
Reviewer: Eric Stachura (Marietta)
Applied Koopman theory for partial differential equations and data-driven modeling of spatio-temporal systems. (English) Zbl 1409.37029
Some explicit solutions of the Landau-Lifshitz equation for anisotropic ferromagnets. (English) Zbl 1405.35196
Computation of minimum action paths of the stochastic nonlinear Schrödinger equation with dissipation. (English) Zbl 1397.81064
Nonlinear Schrödinger equations with exceptional potentials. (English) Zbl 1427.35257
Reviewer: Marin I. Marin (Braşov)
The nonlinear Schrödinger equation with a potential. (English) Zbl 1406.35355
Reviewer: Alain Brillard (Riedisheim)
A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. (English) Zbl 1397.35062
On coupling kinetic and Schrödinger equations. (English) Zbl 1394.82012
Reviewer: Eugene Postnikov (Kursk)
Bose-Einstein condensation under the cubic-quintic Gross-Pitaevskii equation in radial domains. (English) Zbl 1382.35272
On the dynamics of finite temperature trapped Bose gases. (English) Zbl 1386.82035
Reviewer: Guy Jumarie (Montréal)
Global well-posedness for a \(L^2\)-critical nonlinear higher-order Schrödinger equation. (English) Zbl 1378.35275
Soliton solutions of cubic-quintic nonlinear Schrödinger and variant Boussinesq equations by the first integral method. (English) Zbl 1499.78022
Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients. (English) Zbl 1510.35289
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