Found 276 Documents (Results 1–100)
Bifurcation analysis and optical soliton perturbation with Radhakrishnan-Kundu-Lakshmanan equation. (English) Zbl 1540.35043
Highly dispersive optical soliton perturbation with Kerr law for complex Ginzburg-Landau equation. (English) Zbl 1540.35105
Explicit optical dromions with Kerr law having fractional temporal evolution. (English) Zbl 1529.35479
Quasimonochromatic dynamical system and optical soliton cooling with triple-power law of self-phase modulation. (English) Zbl 1528.81140
Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation. (English) Zbl 1519.76027
W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrödinger equation in nonlinear optical fibers. (English) Zbl 1519.35080
Propagation of chirped gray solitons in weakly nonlocal media with parabolic law nonlinearity and spatio-temporal dispersion. (English) Zbl 1538.35114
Chirped spatial solitons on a continuous-wave background in weak nonlocal media with polynomial law of nonlinearity. (English) Zbl 1522.35144
Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects. (English) Zbl 1508.78014
Embedded solitons with \(\chi^{(2)}\) and \(\chi^{(3)}\) nonlinear susceptibilities having multiplicative white noise via Itô calculus. (English) Zbl 1506.35194
Perturbation of chirped localized waves in a dual-power law nonlinear medium. (English) Zbl 1504.74047
Conservation laws and optical soliton cooling with cubic-quintic-septic-nonic nonlinear refractive index. (English) Zbl 1538.35111
Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system. (English) Zbl 1498.35515
Cubic-quartic optical soliton perturbation with complex Ginzburg-Landau equation by the enhanced Kudryashov’s method. (English) Zbl 1498.35492
Bright optical solitons with polynomial law of nonlinear refractive index by Adomian decomposition scheme. (English) Zbl 1502.78037
Dispersive optical solitons with Schrödinger-Hirota model having multiplicative white noise via Itô calculus. (English) Zbl 1498.81073
Optical solitons in fiber Bragg gratings with quadratic-cubic law of nonlinear refractive index and cubic-quartic dispersive reflectivity. (English) Zbl 1491.35397
New chirped gray and kink self-similar waves in presence of quintic nonlinearity and self-steepening effect. (English) Zbl 1495.81047
Highly dispersive optical solitons and conservation laws in absence of self-phase modulation with new Kudryashov’s approach. (English) Zbl 1486.81090
Stationary optical solitons with Kudryashov’s quintuple power-law of refractive index having nonlinear chromatic dispersion. (English) Zbl 1490.35396
Optical solitons in fiber Bragg gratings with cubic-quartic dispersive reflectivity by enhanced Kudryashov’s approach. (English) Zbl 07452171
Localized pulses in optical fibers governed by perturbed Fokas-Lenells equation. (English) Zbl 07427920
Highly dispersive optical solitons in polarization-preserving fibers with Kerr law nonlinearity by Lie symmetry. (English) Zbl 1479.78023
Optical solitons and bifurcation analysis in fiber Bragg gratings with Lie symmetry and Kudryashov’s approach. (English) Zbl 1537.35146
Solitons and conservation laws in magneto-optic waveguides with generalized Kudryashov’s equation. (English) Zbl 07833876
Solitons and modulation instability of the perturbed Gerdjikov-Ivanov equation with spatio-temporal dispersion. (English) Zbl 1498.35152
MSC:
35C08
Time-dependent coupled complex short pulse equation: invariant analysis and complexitons. (English) Zbl 1498.35155
Cubic-quartic optical solitons and conservation laws with Kudryashov’s law of refractive index by extended trial function. (English) Zbl 1480.78016
Conservation laws for solitons in magneto-optic waveguides with anti-cubic and generalized anti-cubic nonlinearities. (English) Zbl 1475.78007
MSC:
78A60
Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches. (English) Zbl 1478.78053
Straddled optical solitons for cubic-quartic Lakshmanan-Porsezian-Daniel model by Lie symmetry. (English) Zbl 07412710
Chirped optical solitons having polynomial law of nonlinear refractive index with self-steepening and nonlinear dispersion. (English) Zbl 07412707
Conservation laws for solitons in magneto-optic waveguides with dual-power law nonlinearity. (English) Zbl 07412686
Stationary optical solitons with cubic-quartic law of refractive index and nonlinear chromatic dispersion. (English) Zbl 07411300
Chirped super-Gaussian and super-sech pulse perturbation of nonlinear Schrödinger’s equation with quadratic-cubic nonlinearity by variational principle. (English) Zbl 07409565
Optical solitons with differential group delay for Kudryashov’s model by the auxiliary equation mapping method. (English) Zbl 07833212
Optical solitons in fiber Bragg gratings with generalized anti-cubic nonlinearity by extended auxiliary equation. (English) Zbl 07832481
Optical solitons in birefringent fibers with Radhakrishnan-Kundu-Lakshmanan equation by a couple of strategically sound integration architectures. (English) Zbl 07832457
Optical solitons in fiber Bragg gratings having Kerr law of refractive index with extended Kudryashov’s method and new extended auxiliary equation approach. (English) Zbl 07832367
Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers. (English) Zbl 1516.37112
Interactions among solitons for a fifth-order variable coefficient nonlinear Schrödinger equation. (English) Zbl 1516.37119
Chirped self-similar cnoidal waves and similaritons in an inhomogeneous optical medium with resonant nonlinearity. (English) Zbl 1496.78008
Propagation properties of chirped optical similaritons with dual-power law nonlinearity. (English) Zbl 1495.78008
Solitons in magneto-optic waveguides with Kudryashov’s law of refractive index. (English) Zbl 1495.78001
Optical solitons and conservation laws with generalized Kudryashov’s law of refractive index. (English) Zbl 1490.78008
Optical soliton perturbation with polynomial and triple-power laws of refractive index by semi-inverse variational principle. (English) Zbl 1489.35268
Chirped optical soliton perturbation of Fokas-Lenells equation with full nonlinearity. (English) Zbl 1482.35223
Solitons and conservation laws in magneto-optic waveguides having parabolic-nonlocal law of refractive index. (English) Zbl 1448.35091
Stationary optical solitons with Sasa-Satsuma equation having nonlinear chromatic dispersion. (English) Zbl 1448.35077
Optical solitons for Radhakrishnan-Kundu-Lakshmanan equation with full nonlinearity. (English) Zbl 1448.35078
Stationary optical solitons with nonlinear chromatic dispersion having quadratic-cubic law of refractive index. (English) Zbl 1448.35076
Dark, singular and straddled optical solitons in birefringent fibers with generalized anti-cubic nonlinearity. (English) Zbl 1448.35090
Darboux transformation for a generalized Ablowitz-Kaup-Newell-Segur hierarchy equation. (English) Zbl 1448.37078
Cubic-quartic optical soliton perturbation and conservation laws with Kudryashov’s law of refractive index. (English) Zbl 1448.78049
Optical soliton perturbation with Kudryashov’s equation by semi-inverse variational principle. (English) Zbl 1448.35082
(2 + 1)-dimensional Boiti-Leon-Pempinelli equation – domain walls, invariance properties and conservation laws. (English) Zbl 1448.76045
Optical dromions and domain walls with the Kundu-Mukherjee-Naskar equation by the Laplace-Adomian decomposition scheme. (English) Zbl 1448.65291
Conservation laws for highly dispersive optical solitons in birefringent fibers. (English) Zbl 1433.78019
Nonautonomous matter wave bright solitons in a quasi-1D Bose-Einstein condensate system with contact repulsion and dipole-dipole attraction. (English) Zbl 1433.82008
Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1433.35338
Dark two-soliton solutions for nonlinear Schrödinger equations in inhomogeneous optical fibers. (English) Zbl 07824995
Optical solitons with complex Ginzburg-Landau equation for two nonlinear forms using \(F\)-expansion. (English) Zbl 07824988
Optical solitons having anti-cubic nonlinearity with two integration architectures. (English) Zbl 07823623
Optical soliton perturbation with quadratic-cubic nonlinearity by mapping methods. (English) Zbl 07823620
Optical solitons in \((2+1)\)-dimensions with Kundu-Mukherjee-Naskar equation by extended trial function scheme. (English) Zbl 1539.35253
Optical solitons with complex Ginzburg-Landau equation having three nonlinear forms. (English) Zbl 1479.35831
Optical solitons and conservation laws with polarization-mode dispersion for coupled Fokas-Lenells equation using group invariance. (English) Zbl 1448.35080
Generation and control of multiple solitons under the influence of parameters. (English) Zbl 1439.78013
Bright soliton interactions in a \((2+1)\)-dimensional fourth-order variable-coefficient nonlinear Schrödinger equation for the Heisenberg ferromagnetic spin chain. (English) Zbl 1439.35451
Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrödinger equation. (English) Zbl 1437.35146
Dromion-like soliton interactions for nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers. (English) Zbl 1437.35633
Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation. (English) Zbl 1434.78022
Control of dark and anti-dark solitons in the \((2+1)\)-dimensional coupled nonlinear Schrödinger equations with perturbed dispersion and nonlinearity in a nonlinear optical system. (English) Zbl 1430.35218
Phase shift, oscillation and collision of the anti-dark solitons for the \((3+1)\)-dimensional coupled nonlinear Schrödinger equation in an optical fiber communication system. (English) Zbl 1430.35217
Optical soliton perturbation for Gerdjikov-Ivanov equation via two analytical techniques. (English) Zbl 07822201
Optical soliton perturbation with quadratic-cubic nonlinearity using a couple of strategic algorithms. (English) Zbl 07820702
Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity. (English) Zbl 1441.76024
Application of fractional sub-equation method to nonlinear evolution equations. (English) Zbl 1416.35288
MSC:
35R11
Optical soliton perturbation, group invariants and conservation laws of perturbed Fokas-Lenells equation. (English) Zbl 1415.35009
Group analysis, nonlinear self-adjointness, conservation laws, and soliton solutions for the mKdV systems. (English) Zbl 1421.35327
A new approach for numerical solution of modified Korteweg-de Vries equation. (English) Zbl 1448.65148
The modified Adomian decomposition method for solving oscillating magnetic fields integro-differential equations. (English) Zbl 1446.65206
New types of soliton-like solutions for a second order wave equation of Korteweg-de Vries type. (English) Zbl 1383.35046
Optical solitons in nonlinear directional couplers with trial function scheme. (English) Zbl 1380.35048
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