Found 1,834 Documents (Results 1–100)
Spectral stability of constrained solitary waves for the generalized singular perturbed KdV equation. (English) Zbl 07919165
Investigation of space-time dynamics of Akbota equation using Sardar sub-equation and Khater methods: unveiling bifurcation and chaotic structure. (English) Zbl 07909673
Diverse exact solutions to Davey-Stewartson model using modified extended mapping method. (English) Zbl 07908548
Dispersive estimates for 1D matrix Schrödinger operators with threshold resonance. (English) Zbl 07906104
Painlevé analysis of the resonant third-order nonlinear Schrödinger equation. (English) Zbl 07901114
Existence of nontrivial solitary wave for a generalized Kadomtsev-Petviashvili equation with the potential. (English) Zbl 07893757
Integrability, similarity reductions and new classes of exact solutions for (3+1)-D potential Yu-Toda-Sasa-Fukuyama equation. (English) Zbl 07888028
A novel investigation on propagation of envelop optical soliton structure through a dispersive medium in the nonlinear Whitham-Broer-Kaup dynamical equation. (English) Zbl 07880125
Wave motions in discontinuous initial-value problem of the inviscid shallow water wave Jaulent-Miodek model. (English) Zbl 07877977
Center stable manifolds around line solitary waves of the Zakharov-Kuznetsov equation. (English) Zbl 1542.35041
Plasma-infused solitary waves: unraveling novel dynamics with the Camassa-Holm equation. (English) Zbl 1542.35346
Stability of smooth periodic traveling waves in the Degasperis-Procesi equation. (English) Zbl 1542.35340
When discrete fronts and pulses form a single family: FPU chain with hardening-softening springs. (English) Zbl 07868584
The stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations. (English) Zbl 07864770
Orbital stability of periodic traveling waves in the \(b\)-Camassa-Holm equation. (English) Zbl 07855420
Bifurcations and exact solutions of optical soliton models in fifth-order weakly nonlocal nonlinear media. (English) Zbl 1541.35483
Novel soliton molecules, periodic wave and other diverse wave solutions to the new (2 + 1)-dimensional shallow water wave equation. (English) Zbl 1541.35398
The formation of invariant exact optical soliton solutions of Landau-Ginzburg-Higgs equation via Khater analytical approach. (English) Zbl 1541.35474
Innovative insights into wave phenomena: computational exploration of nonlinear complex fractional generalized-Zakharov system. (English) Zbl 1539.35219
Unraveling physical phenomena: investigating solitary wave characteristics in the Boiti-Leon-Pempinelli system. (English) Zbl 1539.35223
Soliton-like solutions supported by refined hydrodynamic-type model of an elastic medium with soft inclusions. (English) Zbl 1541.35495
Quasi-periodic breathers and rogue waves to the focusing Davey-Stewartson equation. (English) Zbl 1541.35393
Bifurcations and exact traveling wave solutions of the Khorbatly’s geophysical Boussinesq system. (English) Zbl 1540.35404
Peakon, periodic peakons, compactons and bifurcations of nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index. (English) Zbl 1535.35173
B-class solitary waves and their persistence under Kuramoto-Sivashinsky perturbation. (English) Zbl 1536.35131
The dynamical property of a nonlinear shallow water wave equation with inhomogeneous boundary conditions. (English) Zbl 1535.35153
New solitary wave solutions and dynamical behaviors of the nonlinear fractional Zakharov system. (English) Zbl 1535.35034
Exact periodic wave solutions of the cubic-quintic Zakharov equation and their evolution with Hamilton energy. (English) Zbl 1534.35060
The partial-rogue ripple solutions of nonlocal Kadomtsev-Petviashvili equation. (English) Zbl 1533.35295
Analytical properties of nonlinear partial differential equations. With applications to shallow water models. (English) Zbl 07808162
CMS/CAIMS Books in Mathematics 10. Cham: Springer (ISBN 978-3-031-53073-9/hbk; 978-3-031-53076-0/pbk; 978-3-031-53074-6/ebook). xviii, 309 p. (2024).
Reviewer: Dimitar A. Kolev (Sofia)
MSC:
35Q35
35-02
76-02
76B15
76B25
76D05
37K10
37K15
37K35
35A20
35B06
68W30
35C08
35C07
82D55
35R35
34M55
35Q53
35Q55
The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of \(sech^2\) solutions. (English) Zbl 1533.35274
Data-driven wave solutions of (2+1)-dimensional nonlinear dispersive long wave equation by deep learning. (English) Zbl 1532.68102
On the stability of solitary waves in the NLS system of the third-harmonic generation. (English) Zbl 1528.35179
Wave profile, Paul-Painlevé approaches and phase plane analysis to the generalized (3+1)-dimensional shallow water wave model. (English) Zbl 1530.35101
Geometric singular perturbation analysis to the coupled Schrödinger equations. (English) Zbl 1528.35163
A Direct Construction of Solitary Waves for a Fractional Korteweg-de Vries Equation With an Inhomogeneous Symbol. arXiv:2407.02717
Preprint, arXiv:2407.02717 [math.AP] (2024).
Solitary-wave solutions of the fractional nonlinear Schrödinger equation. I. Existence and numerical generation. arXiv:2401.10884
Preprint, arXiv:2401.10884 [math.AP] (2024).
Ion acoustic solitary wave solutions to mKdV-ZK model in homogeneous magnetized plasma. (English) Zbl 07901629
Comment on “Dispersive of propagation wave structures to the Dullin-Gottwald-Holm dynamical equation in a shallow water waves”. (English) Zbl 07853157
Persistence of solitary waves and periodic waves of a singularly perturbed generalized Drinfel’d-Sokolov system. (English) Zbl 1540.35024
Bifurcations, exact peakon, periodic peakons and solitary wave solutions of generalized Camassa-Holm-Degasperis-Procosi type equation. (English) Zbl 1541.35394
Solving the regularized Schamel equation by the singular planar dynamical system method and the deep learning method. (English) Zbl 1541.35430
Bifurcations and exact traveling wave solutions of the generalized Serre-Green-Naghdi system with weak Coriolis effect and surface tension. (English) Zbl 07847387
Bifurcations, exact peakon, periodic peakons and solitary wave solutions of the cubic Camassa-Holm type equation. (English) Zbl 1541.35443
Single- and double-peak solitary waves of two-component Drinfel’d-Sokolov-Wilson system with Kuramoto-Sivashinsky perturbation. (English) Zbl 1540.35097
Lump and hybrid solutions for a (3+1)-dimensional Boussinesq-type equation for the gravity waves over a water surface. (English) Zbl 1541.35377
Various solutions of the (2+1)-dimensional Hirota-Satsuma-Ito equation using the bilinear neural network method. (English) Zbl 1541.35406
Novel periodic and optical soliton solutions for Davey-Stewartson system by generalized Jacobi elliptic expansion method. (English) Zbl 07832183
Internal solitary waves in the presence of linear and nonlinear shear-currents. (English) Zbl 07825021
The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation. (English) Zbl 1532.35394
Solitary waves of the complex Ginzburg-Landau equation with anti-cubic nonlinearity. (English) Zbl 1540.35384
Propagation of novel traveling wave envelopes of Zhiber-Shabat equation by using Lie analysis. (English) Zbl 1531.35114
New perspective to the fractal Konopelchenko-Dubrovsky equations with \(M\)-truncated fractional derivative. (English) Zbl 1533.35361
Traveling-wave solutions for a nonlinear non-Ohmic cardioelectrophysiological tissue conduction cable equation. (English) Zbl 1531.35110
Bifurcation analysis and dynamics of abundant traveling waves of the modified Novikov equation. (English) Zbl 1538.34124
Unexpected configurations for the optical solitons propagation in lossy fiber system with dispersion terms effect. (English) Zbl 1530.35106
Rational and semi-rational solutions for a (3 + 1)-dimensional generalized KP-Boussinesq equation in shallow water wave. (English) Zbl 1529.35395
Bounded traveling wave solutions of a (2+1)-dimensional breaking soliton equation. (English) Zbl 1527.35338
Structure of analytical and symbolic computational approach of multiple solitary wave solutions for nonlinear Zakharov-Kuznetsov modified equal width equation. (English) Zbl 1535.35156
Closed-form solutions and conserved quantities of a new integrable \((2 +1)\)-dimensional Boussinesq equation of nonlinear sciences. (English) Zbl 07773931
Some novel optical solutions for the generalized \(M\)-fractional coupled NLS system. (English) Zbl 1527.35471
Bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations. (English) Zbl 1528.35008
Reviewer: Liming Ling (Guangzhou)
Influence of bottom irregularity on solitary-wave interaction with a partially immersed rectangular body. (English. Russian original) Zbl 1529.35386
J. Appl. Mech. Tech. Phys. 64, No. 1, 50-63 (2023); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 1, 60-75 (2023).
Advancements in computational techniques for precise solitary wave solutions in the (1+1)-dimensional Mikhailov-Novikov-Wang equation. (English) Zbl 1531.65212
New solitary wave solutions for the fractional Jaulent-Miodek hierarchy model. (English) Zbl 1529.35453
A study on stochastic longitudinal wave equation in a magneto-electro-elastic annular bar to find the analytical solutions. (English) Zbl 1519.35374
Soliton propagation under diffusive and nonlinear effects in physical systems; \((1+1)\)-dimensional \(\mathbb{MNW}\) integrable equation. (English) Zbl 1527.35130
Retraction note to: “Lie symmetry analysis, optimal system and exact solutions for variable-coefficients (2+1)-dimensional dissipative long-wave system”. (English) Zbl 1515.35224
Existence and concentration of nontrivial solitary waves for a generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^2\). (English) Zbl 1518.35016
Existence of single-peak solitary waves and double-peaks solitary wave of Gardner equation with Kuramoto-Sivashinsky perturbation. (English) Zbl 1519.34042
Dispersive propagation of optical solitions and solitary wave solutions of Kundu-Eckhaus dynamical equation via modified mathematical method. (English) Zbl 1524.35170
On the existence of solitary waves for an internal system of the Benjamin-Ono type. (English) Zbl 1524.74300
Effect of the Coriolis force on bounded traveling waves of the rotation-two-component Camassa-Holm system. (English) Zbl 1509.35098
Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation. (English) Zbl 07677981
Analysis of analytical solutions of fractional Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1522.35146
A Legendre dual-Petrov-Galerkin spectral element method for the Kawahara-type equations. (English) Zbl 1511.65111
The solitary wave, kink and anti-kink solutions coexist at the same speed in a perturbed nonlinear Schrödinger equation. (English) Zbl 1510.35115
Influence of dissipation on solitary wave solution to generalized Boussinesq equation. (English) Zbl 1510.35105
Nonexistence of periodic peaked traveling wave solutions to a rotation \(\mu \)-Camassa-Holm equation with Coriolis effect. (English) Zbl 1505.35305
Reviewer: Alain Brillard (Riedisheim)
Mathematical model with unrestricted dispersion and polynomial nonlinearity. (English) Zbl 1505.35327
Wave breaking to a shallow water wave equation involving the Fornberg-Whitham model. (English) Zbl 1503.35169
Lie symmetry analysis, optimal system and exact solutions for variable-coefficients \((2 + 1)\)-dimensional dissipative long-wave system. (English) Zbl 1498.35450
J. Math. Anal. Appl. 518, No. 1, Article ID 126671, 18 p. (2023); retraction note ibid. 526, No. 2, Article ID 127423, 1 p. (2023).
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