Found 91 Documents (Results 1–91)
Similarity reductions on a \((2+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system describing certain electromagnetic waves in a thin film. (English) Zbl 07879192
Painlevé analysis, Bäcklund transformation, Lax pair, periodic- and travelling-wave solutions for a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics. (English) Zbl 1526.35111
Lie symmetry analysis, exact solutions, optimal system and conservation laws for variable-coefficients Kundu-Mukherjee-Nasker equation. (English) Zbl 1538.35026
An optimal system of Lie subalgebras and group-invariant solutions with conserved currents of a \((3+1)\)-D fifth-order nonlinear model I with applications in electrical electronics, chemical engineering and pharmacy. (English) Zbl 1523.35253
On a variable-coefficient AB system in a baroclinic flow: generalized Darboux transformation and non-autonomous localized waves. (English) Zbl 1524.35484
Optical dual-waves to a new dual-mode extension of a third order dispersive nonlinear Schrödinger’s equation. (English) Zbl 1527.81044
Optical solitons and stability regions of the higher order nonlinear Schrödinger’s equation in an inhomogeneous fiber. (English) Zbl 07702454
Breather-wave, multi-wave and interaction solutions for the \((3+1)\)-dimensional generalized breaking soliton equation. (English) Zbl 07919250
Similarity reductions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics. (English) Zbl 07851814
Bilinear auto-Bäcklund transformation, soliton and periodic-wave solutions for a (2+1)-dimensional generalized Kadomtsev-Petviashvili system in fluid mechanics and plasma physics. (English) Zbl 1539.35194
Solitonic rogue waves dynamics in a nonlinear electrical transmission line with the next nearest neighbor couplings. (English) Zbl 1540.35377
Two new types of nonlocal Boussinesq equations in water waves: bright and dark soliton solutions. (English) Zbl 1540.35311
The higher-order and multi-lump waves for a \((3+1)\)-dimensional generalized variable-coefficient shallow water wave equation in a fluid. (English) Zbl 1540.35309
Analytic solutions and conservation laws of a (2+1)-dimensional generalized Yu-Toda-Sasa-Fukuyama equation. (English) Zbl 07851676
Bilinear forms, bilinear Bäcklund transformation, soliton and breather interactions of a damped variable-coefficient fifth-order modified Korteweg-de Vries equation for the surface waves in a strait or large channel. (English) Zbl 1541.35432
Classification and soliton for a generalized fourth-order dispersive nonlinear Schrödinger equation in a Heisenberg spin chain. (English) Zbl 1541.35468
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1524.35564
MSC:
35Q53
Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons. (English) Zbl 1506.35159
Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity. (English) Zbl 1506.35211
Lie symmetry reductions and generalized exact solutions of Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1506.35202
Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1506.35193
Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics. (English) Zbl 1504.35320
Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions. (English) Zbl 1498.35437
Traveling nonsmooth solution and conserved quantities of long nonlinear internal waves. (English) Zbl 1498.34065
Dynamical soliton wave structures of one-dimensional Lie subalgebras via group-invariant solutions of a higher-dimensional soliton equation with various applications in ocean physics and mechatronics engineering. (English) Zbl 1513.35034
Localized nonlinear waves on spatio-temporally controllable backgrounds for a (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq model in water waves. (English) Zbl 1498.35482
MSC:
35Q53
Stable soliton solutions to the shallow water waves and ion-acoustic waves in a plasma. (English) Zbl 1500.76111
The Davey-Stewartson I equation: doubly localized two-dimensional rogue lumps on the background of homoclinic orbits or constant. (English) Zbl 1492.35283
Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended \((3+1)\)-dimensional nonlinear Schrödinger equation in an optical fiber. (English) Zbl 1496.35374
Some new soliton solutions and dynamical behaviours of (3+1)-dimensional Jimbo-Miwa equation. (English) Zbl 1513.35104
Bilinear auto-Bäcklund transformations and similarity reductions for a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system in fluid mechanics and lattice dynamics. (English) Zbl 1502.37075
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system. (English) Zbl 1504.35522
Symmetry solutions and conserved vectors for a generalized short pulse equation. (English) Zbl 1490.35019
Bilinear form and nonlinear waves of a \((1+1)\)-dimensional generalized Boussinesq equation for the gravity waves over water surface. (English) Zbl 1540.35100
Dynamics of soliton waves of group-invariant solutions through optimal system of an extended KP-like equation in higher dimensions with applications in medical sciences and mathematical physics. (English) Zbl 1490.35092
Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics. (English) Zbl 1490.35315
Completion of the Guo-hierarchy integrable coupling with self-consistent sources in a nonlinear wave system. (English) Zbl 1485.35336
Characteristics of lump-kink and their fission-fusion interactions, rogue, and breather wave solutions for a (3+1)-dimensional generalized shallow water equation. (English) Zbl 1499.35026
Lie-Trotter operator splitting spectral method for linear semiclassical fractional Schrödinger equation. (English) Zbl 1504.65227
Curved domain walls in the ferromagnetic nanostructures with Rashba and nonlinear dissipative effects. (English) Zbl 1510.35116
Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations. (English) Zbl 1481.78025
Investigation on the single and multiple dromions for nonlinear telegraph equation in electrical transmission line. (English) Zbl 1482.35068
Geometric perspectives of the two-mode upgrade of a generalized Fisher-Burgers equation that governs the propagation of two simultaneously moving waves. (English) Zbl 1479.35176
Multiple-order breathers for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili Benjamin-Bona-Mahony equation near the offshore structure. (English) Zbl 1540.35359
Different wave structures for the completely generalized Hirota-Satsuma-Ito equation. (English) Zbl 1537.35147
MSC:
35C08
Bäcklund transformations, kink soliton, breather- and travelling-wave solutions for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics. (English) Zbl 07837814
Lie symmetry analysis, new group invariant for the \((3 + 1)\)-dimensional and variable coefficients for liquids with gas bubbles models. (English) Zbl 07835703
In oceanography, acoustics and hydrodynamics: an extended coupled \((2+1)\)-dimensional Burgers system. (English) Zbl 07834911
Multiple rogue wave, breather wave and interaction solutions of a generalized \((3 + 1)\)-dimensional variable-coefficient nonlinear wave equation. (English) Zbl 1517.35088
MSC:
35C08
Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics. (English) Zbl 1517.37074
Soliton solutions, travelling wave solutions and conserved quantities for a three-dimensional soliton equation in plasma physics. (English) Zbl 1512.35508
Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics. (English) Zbl 1498.35479
MSC:
35Q53
Analytic solutions of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation. (English) Zbl 07482425
Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber. (English) Zbl 1510.35318
Analytical solutions for the coupled Hirota equations in the firebringent fiber. (English) Zbl 1510.35315
Generalized lump solutions, classical lump solutions and rogue waves of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation. (English) Zbl 1510.35282
Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system. (English) Zbl 1477.35218
Doubly localized rogue waves on a background of dark solitons for the Fokas system. (English) Zbl 1475.35109
Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation. (English) Zbl 1472.35089
Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation. (English) Zbl 1458.35371
Loop-like kink breather and its transition phenomena for the Vakhnenko equation arising from high-frequency wave propagation in electromagnetic physics. (English) Zbl 1453.78003
Multiple rogue wave solutions for the (3+1)-dimensional generalized Kadomtsev-Petviashvili Benjamin-Bona-Mahony equation. (English) Zbl 07848656
Symmetry solutions and conservation laws of a (3+1)-dimensional generalized KP-Boussinesq equation in fluid mechanics. (English) Zbl 07848654
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
Solitons and periodic waves for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation in fluid dynamics and plasma physics. (English) Zbl 1520.35134
The dynamics of the smooth positon and b-positon solutions for the NLS-MB equations. (English) Zbl 1517.35215
Bilinear form, soliton, breather, lump and hybrid solutions for a \((2+1)\)-dimensional Sawada-Kotera equation. (English) Zbl 1516.37117
Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation. (English) Zbl 1490.35015
Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrödinger system in an inhomogeneous plasma. (English) Zbl 1483.35207
Nonlocal symmetries and exact solutions of a variable coefficient AKNS system. (English) Zbl 1477.76061
Studying lump solutions, rogue wave solutions and dynamical interaction for new model generating from Lax pair. (English) Zbl 1473.35477
Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation. (English) Zbl 1469.37049
Bilinear forms through the binary Bell polynomials, \(N\) solitons and Bäcklund transformations of the Boussinesq-Burgers system for the shallow water waves in a lake or near an ocean beach. (English) Zbl 1451.76023
Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach. (English) Zbl 1434.35182
Solitary-wave and new exact solutions for an extended (3+1)-dimensional Jimbo-Miwa-like equation. (English) Zbl 1428.35075
Breathers, multi-peak solitons, breather-to-soliton transitions and modulation instability of the variable-coefficient fourth-order nonlinear Schrödinger system for an inhomogeneous optical fiber. (English) Zbl 07828458
The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing. (English) Zbl 07822240
\(N\)-solitons and cuspon waves solutions of \((2 + 1)\)-dimensional Broer-Kaup-Kupershmidt equations via hidden symmetries of Lie optimal system. (English) Zbl 1539.35209
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