Found 113 Documents (Results 1–100)
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients. (English) Zbl 07858943
Long-time asymptotics for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation with decaying initial value data. (English) Zbl 07850554
Dynamical analysis of higher-order rogue waves on the various backgrounds for the reverse space-time Fokas-Lenells equation. (English) Zbl 1534.35076
Bright Soliton solutions to the nonlocal Manakov equations of reverse-space type. (English) Zbl 1529.35484
Riemann-Hilbert approach to the focusing and defocusing nonlocal derivative nonlinear Schrödinger equation with step-like initial data. (English) Zbl 1528.35159
The multiple double-pole solitons and multiple negaton-type solitons in the space-shifted nonlocal nonlinear Schrödinger equation. (English) Zbl 1522.35481
Convolution equations with variable time nonlocal coefficients. (English) Zbl 1528.34022
Reviewer: Ruyun Ma (Lanzhou)
Darboux transformation and exact solution to the nonlocal Kundu-Eckhaus equation. (English) Zbl 1514.35419
Some general bright soliton solutions and interactions for a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation. (English) Zbl 1514.35408
Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations. (English) Zbl 1492.35322
Cylindrically symmetric solutions of curl-curl equation with nonlocal nonlinearity. (English) Zbl 1492.35329
Quasi-periodic wave solutions of the nonlocal coupled nonlinear Schrödinger equation. (English) Zbl 1492.35321
Some reverse space(RS) rational solutions for the nonlocal coupled nonlinear Schrödinger equations on the plane wave backgrounds. (English) Zbl 1490.35429
Integrable nonlinear Klein-Gordon systems with \(\mathcal{PT}\) nonlocality and/or space-time exchange nonlocality. (English) Zbl 1495.81060
From discrete nonlocal nonlinear Schrödinger equation to coupled discrete Heisenberg ferromagnet equation. (English) Zbl 1490.35434
Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal \(\mathcal{PT}\) symmetric nonlinear Schrödinger equation. (English) Zbl 1490.35457
High-dimensional vector solitons for a variable-coefficient partially nonlocal coupled Gross-Pitaevskii equation in a harmonic potential. (English) Zbl 1479.35218
Symmetry and nonexistence of positive solutions for fully nonlinear nonlocal systems. (English) Zbl 1524.35705
The complex-valued astigmatic cosine-Gaussian soliton solution of the nonlocal nonlinear Schrödinger equation and its transmission characteristics. (English) Zbl 1479.78021
On gauged nonlinear Schrödinger equations with Chern-Simons nonlocal term in \(\mathbb{R}^2\). (English) Zbl 1524.35240
Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations. (English) Zbl 1479.35829
New multiple positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval. (English) Zbl 1483.34044
Reviewer: Wengui Yang (Sanmenxia)
Broken and unbroken solutions and dynamic behaviors for the mixed local-nonlocal Schrödinger equation. (English) Zbl 1464.35333
A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential. (English) Zbl 1451.35189
Nonstandard bilinearization and interaction phenomenon for PT-symmetric coupled nonlocal nonlinear Schrödinger equations. (English) Zbl 1440.35314
On the stability of reaction-diffusion models with nonlocal delay effect and nonlinear boundary condition. (English) Zbl 1448.35300
Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations. (English) Zbl 1440.35307
Coherent superposition propagation of Laguerre-Gaussian and Hermite-Gaussian solitons. (English) Zbl 1440.35031
Triple positive solutions for fractional differential equation boundary value problems at resonance. (English) Zbl 1441.34017
Multiple bright soliton solutions of a reverse-space nonlocal nonlinear Schrödinger equation. (English) Zbl 1439.35122
\(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves. (English) Zbl 1434.35193
Darboux transformations and exact solutions for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1428.35542
Darboux transformation and explicit solutions for the \((2 + 1)\)-dimensional nonlocal nonlinear Schrödinger-Maxwell-Bloch system. (English) Zbl 1428.35538
Interaction theory of mirror-symmetry soliton pairs in nonlocal nonlinear Schrödinger equation. (English) Zbl 1410.35213
Covariant hodograph transformations between nonlocal short pulse models and the AKNS\((- 1)\) system. (English) Zbl 1410.35225
Solitary wave solutions for nonlinear fractional Schrödinger equation in Gaussian nonlocal media. (English) Zbl 1410.35222
A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations. (English) Zbl 1461.37073
Fractional differential equations involving generalized derivative with Stieltjes and fractional integral boundary conditions. (English) Zbl 1477.34004
Rational solutions for the nonlocal sixth-order nonlinear Schrödinger equation. (English) Zbl 1538.35346
Bright and dark wirelike spatiotemporal solitons of a partially nonlocal nonlinear Schrödinger equation. (English) Zbl 1393.35229
Variable sinh-Gaussian solitons in nonlocal nonlinear Schrödinger equation. (English) Zbl 1393.78015
Reductions of Darboux transformations for the \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson equations. (English) Zbl 1393.35184
Multiple positive solutions for a system of impulsive integral boundary value problems with sign-changing nonlinearities. (English) Zbl 1392.34019
Second critical exponent for a nonlinear nonlocal diffusion equation. (English) Zbl 1394.35504
Reviewer: Alain Brillard (Riedisheim)
Triple positive solutions for nonlocal fractional differential equations with singularities both on time and space variables. (English) Zbl 1391.34021
Blow-up and lifespan of solutions to a nonlocal parabolic equation at arbitrary initial energy level. (English) Zbl 1538.35096
Darboux transformation and soliton solutions in the parity-time-symmetric nonlocal vector nonlinear Schrödinger equation. (English) Zbl 1379.35300
CRE solvability and soliton-cnoidal wave interaction solutions of the dissipative \((2+1)\)-dimensional AKNS equation. (English) Zbl 1378.35085
Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants. (English) Zbl 1375.35511
An efficient method for solving a class of nonlocal boundary value problems and error estimate. (English) Zbl 1373.65050
On the stability of a model for the cutting of metal plates by means of laser beams. (English) Zbl 1383.35122
Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions. (English) Zbl 1358.39005
The method of lower and upper solutions for mixed fractional four-point boundary value problem with \(p\)-Laplacian operator. (English) Zbl 1357.34018
Reviewer: Wengui Yang (Sanmenxia)
Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system. (English) Zbl 1353.35023
Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation. (English) Zbl 1351.35195
Nonlocal general vector nonlinear Schrödinger equations: integrability, \(\mathcal{PT}\) symmetribility, and solutions. (English) Zbl 1351.35197
\(N\)-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger equation. (English) Zbl 1342.35346
On the maximum and antimaximum principles for the beam equation. (English) Zbl 1375.34038
Reviewer: Alberto Cabada (Santiago de Compostela)
Existence of solutions of nonlocal Cauchy problem for some fractional abstract differential equation. (English) Zbl 1334.34013
Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model. (English) Zbl 1322.35132
Existence of extremal solutions for nonlinear fractional differential equation with nonlinear boundary conditions. (English) Zbl 1320.34013
Reviewer: Samir Bashir Hadid (Ajman)
Coupled systems of boundary value problems with nonlocal boundary conditions. (English) Zbl 1312.34050
Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions. (English) Zbl 1387.34014
Positive solutions for a class of fractional differential equations with integral boundary conditions. (English) Zbl 1314.34025
Positive solutions for three-point boundary value problems with a non-well-ordered upper and lower solution condition. (English) Zbl 1248.34022
On the uniqueness of the positive solution for a second-order integral boundary value problem with switched nonlinearity. (English) Zbl 1236.34032
Reviewer: George Karakostas (Ioannina)
A note on the fractional Cauchy problems with nonlocal initial conditions. (English) Zbl 1251.45008
Reviewer: Stig-Olof Londen (Aalto)
Existence of symmetric positive solutions for a boundary value problem with integral boundary conditions. (English) Zbl 1221.34062
Reviewer: Ruyun Ma (Lanzhou)
Symmetric positive solutions for nonlinear boundary value problems with \(\phi\)-Laplacian operator. (English) Zbl 1197.34036
Uniqueness and parameter dependence of solutions of second-order boundary value problems. (English) Zbl 1181.34021
Nontrivial solutions of a nonlinear heat flow problem via Sperner’s lemma. (English) Zbl 1173.34311
MSC:
34B15
Positive solutions for third-order three-point nonhomogeneous boundary value problems. (English) Zbl 1163.34313
On a \(p\)-Kirchhoff equation via Krasnoselskii’s genus. (English) Zbl 1171.35371
MSC:
35J60
35D05
Existence results for a fourth-order ordinary differential equation with a four-point boundary condition. (English) Zbl 1141.34305
Existence and iteration of positive pseudo-symmetric solutions for a three-point second-order \(p\)-Laplacian BVP. (English) Zbl 1151.34011
Reviewer: Carmen Simerská (Praha)
Existence of solutions for fourth order differential equation with four-point boundary conditions. (English) Zbl 1140.34308
Reviewer: Gennaro Infante (Arcavata di Rende)
Properties of kernels and multiple positive solutions for three-point boundary value problems. (English) Zbl 1125.34307
Reviewer: Mohammed Bouchekif (Tlemcen)
Positive solutions of second-order \(m\)-point boundary value problems with changing sign singular nonlinearity. (English) Zbl 1124.34312
Reviewer: Petio S. Kelevedjiev (Sliven)
A comparison principle for nonlocal coupled systems of fully nonlinear parabolic equations. (English) Zbl 1179.35082
Solvability for second-order three-point boundary value problems on a half-line. (English) Zbl 1123.34307
Positive solution of fourth order ordinary differential equation with four-point boundary conditions. (English) Zbl 1096.34009
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