Found 1,124 Documents (Results 1–100)
Excitations of distorted magnetosonic lump waves by orbital charged space debris objects in ionospheric plasma. (English) Zbl 07918980
Lacarbonara, Walter (ed.), Advances in nonlinear dynamics. Proceedings of the third international nonlinear dynamics conference, NODYCON 2023, Rome, Italy, June 18–22, 2023. Volume III. Cham: Springer. NODYCON Conf. Proc. Ser., 531-540 (2024).
MSC:
35Qxx
A study of extreme water waves using a hierarchy of models based on potential-flow theory. (English) Zbl 07901729
Water Waves 6, No. 2, 225-277 (2024); correction ibid. 6, No. 2, 279-280 (2024).
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
\(N\)-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient cylindrical Kadomtsev-Petviashvili equation. (English) Zbl 07901121
New optical soliton structures, bifurcation properties, chaotic phenomena, and sensitivity analysis of two nonlinear partial differential equations. (English) Zbl 07898347
Existence of nontrivial solitary wave for a generalized Kadomtsev-Petviashvili equation with the potential. (English) Zbl 07893757
Classical solutions for the generalized Kadomtsev-Petviashvili I equations. (English) Zbl 1543.35004
Highly localized horseshoe ripplons and solitons in positive dispersion media. (English) Zbl 07881978
Similarity reductions on a \((2+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system describing certain electromagnetic waves in a thin film. (English) Zbl 1543.35156
Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type. (English) Zbl 07870416
Corrigendum to: “A semi-periodic initial-value problem for the Kadomtsev-Petviashvili II equation”. (English) Zbl 1542.35342
Convergence problem of the generalized Kadomtsev-Petviashvili II equation in anisotropic Sobolev space. (English) Zbl 1541.35076
Interactions of certain localized waves for an extended \((3+1)\)-dimensional Kadomtsev-Petviashvili equation in fluid mechanics. (English) Zbl 07858889
Bilinear Bäcklund transformation, fission/fusion and periodic waves of a \((3+1)\)-dimensional Kadomtsev-Petviashvili equation for the shallow water waves. (English) Zbl 07858417
On the Cauchy problem for a Kadomtsev-Petviashvili hierarchy on non-formal operators and its relation with a group of diffeomorphisms. (English) Zbl 1543.35194
Solitons and lumps in the cylindrical Kadomtsev-Petviashvili equation. I: Axisymmetric solitons and their stability. (English) Zbl 1540.35342
Solitons and lumps in the cylindrical Kadomtsev-Petviashvili equation. II: Lumps and their interactions. (English) Zbl 1540.35362
On the steadiness of symmetric solutions to two dimensional dispersive models. (English) Zbl 07850256
MSC:
76-XX
Breather waves, periodic cross-lump waves and complexiton type solutions for the \((2 + 1)\)-dimensional Kadomtsev-Petviashvili equation in dispersive media. (English) Zbl 07835638
Nonlinear localized waves and their interactions for a \((2+1)\)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation in a fluid. (English) Zbl 07825045
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev-Petviashvili equation. (English) Zbl 1531.35133
Different solutions to the conformable generalized \((3+1)\)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation arising in shallow-water waves. (English) Zbl 1532.35494
Multiplicity of solutions for a generalized Kadomtsev-Petviashvili equation with potential in \(\mathbb{R}^2\). (English) Zbl 1529.35006
Tau-function formulation for bright, dark soliton and breather solutions to the massive Thirring model. (English) Zbl 1533.37138
A discontinuous Galerkin method for the Camassa-Holm-Kadomtsev-Petviashvili type equations. (English) Zbl 1529.65093
Enumeration of hypermaps and Hirota equations for extended rationally constrained KP. (English) Zbl 1529.14018
Reviewer: Alec Linden Disney-Hogg (Edinburgh)
Resonance soliton, breather and interaction solutions of the modified Kadomtsev-Petviashvili-II equation. (English) Zbl 1523.35119
Rogue waves and their patterns in the vector nonlinear Schrödinger equation. (English) Zbl 1526.35114
Integrability, breather, lump and quasi-periodic waves of non-autonomous Kadomtsev-Petviashvili equation based on Bell-polynomial approach. (English) Zbl 1524.35551
Smooth branch of rarefaction pulses for the nonlinear Schrödinger equation and the Euler-Korteweg system in 2d. (Branche régulière d’ondes de raréfaction pour l’équation de Schrödinger non linéaire et le système d’Euler-Korteweg en 2d.) (English. French summary) Zbl 1527.35268
Frölicher structures, diffieties, and a formal KP hierarchy. (English) Zbl 1530.35012
Krasil’shchik, I. S. (ed.) et al., The diverse world of PDEs. Algebraic and cohomological aspects. Alexandre Vinogradov memorial conference. Diffieties, cohomological physics, and other animals, Independent University of Moscow and Moscow State University, Moscow, Russia, December 13–17, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 789, 183-196 (2023).
A semi-periodic initial-value problem for the Kadomtsev-Petviashvili II equation. (English) Zbl 1522.35441
Nonlinearity 36, No. 10, 5422-5473 (2023); corrigendum ibid. 37, No. 7, Article ID 079501, 4 p. (2024).
Accurate coiflet wavelet solution of extended \((2+1)\)-dimensional Kadomtsev-Petviashvili equation using the novel wavelet-homotopy analysis approach. (English) Zbl 07733062
(2+1)-dimensional KdV, fifth-order KdV, and Gardner equations derived from the ideal fluid model. Soliton, cnoidal and superposition solutions. (English) Zbl 1523.35257
Low regularity well-posedness for KP-I equations: the dispersion-generalized case. (English) Zbl 1522.35449
Reviewer: Piotr Biler (Wrocław)
Interactions among the rogue waves and solitons for a \((2 + 1)\)-dimensional Maccari system in fluid mechanics and nonlinear optics. (English) Zbl 07724034
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations. (English) Zbl 1525.37074
Reviewer: Felipe Zaldívar (Ciudad de México)
Existence and concentration of nontrivial solitary waves for a generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^2\). (English) Zbl 1518.35016
New solitary wave solutions of the fractional modified KdV-Kadomtsev-Petviashvili equation. (English) Zbl 1521.35163
The coupled modified Yajima-Oikawa system: model derivation and soliton solutions. (English) Zbl 1514.35090
KP-II approximation for a scalar Fermi-Pasta-Ulam system on a 2D square lattice. (English) Zbl 1517.37077
Elliptic solutions of Boussinesq type lattice equations and the elliptic \(N\)th root of unity. (English) Zbl 1518.39003
Reviewer: Utkir A. Rozikov (Tashkent)
Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation. (English) Zbl 07677981
\(N = 2\) multicomponent supersymmetric KP hierarchy and additional symmetries. (English) Zbl 1514.37089
Interaction structures of multi localized waves within the Kadomtsev-Petviashvili I equation. (English) Zbl 1510.35121
Rossby waves and dipole blocking of barotropic-baroclinic coherent structures in unequal depth two-layer fluids. (English) Zbl 1524.76508
MSC:
76U65
Soliton solutions and lump-type solutions to the \((2+1)\)-dimensional Kadomtsev-Petviashvili equation with variable coefficient. (English) Zbl 1538.37038
Construction of new traveling wave solutions for the \((2+1)\) dimensional extended Kadomtsev-Petviashvili equation. (English) Zbl 07885959
Solitary and lump waves interaction in variable-coefficient nonlinear evolution equation by a modified ansatz with variable coefficients. (Solitary and lump waves interaction in variable-coefficient nonlinear evolution equation by a modified ansätz with variable coefficients.) (English) Zbl 07885958
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
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
Multiple rogue wave solutions for the generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation. (English) Zbl 1540.35101
Single-traveling-wave and double-wave polynomial solutions of the generalized (3 + 1)-dimensional modified Kadomtsev-Petviashvili equations with variable coefficients. (English) Zbl 1541.35120
Nonlinear dynamic behaviors of the generalized (3+1)-dimensional KP equation. (English) Zbl 1534.35324
Traveling waves and transverse instability for the fractional Kadomtsev-Petviashvili equation. (English) Zbl 1529.35119
General higher – order breathers and rogue waves in the two-component long-wave-short-wave resonance interaction model. (English) Zbl 1529.35133
Lump solutions and interaction solutions for \((2+1)\)-dimensional KPI equation. (English) Zbl 1510.35108
On the full dispersion Kadomtsev-Petviashvili equations for dispersive elastic waves. (English) Zbl 1524.35632
Algebro-geometric solutions to the lattice potential modified Kadomtsev-Petviashvili equation. (English) Zbl 1511.37090
Existence of the periodic peaked solitary-wave solutions to the Camassa-Holm-Kadomtsev-Petviashvili equation. (English) Zbl 1502.35141
Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph. (English. Russian original) Zbl 1516.37124
Theor. Math. Phys. 213, No. 2, 1589-1612 (2022); translation from Teor. Mat. Fiz. 213, No. 2, 320-346 (2022).
Families of solutions to the KPI equation given by an extended Darboux transformation. (English) Zbl 1504.35138
Classification of KPI lumps. (English) Zbl 1506.35197
MSC:
35Q53
Dynamics of KPI lumps. (English) Zbl 1506.35196
MSC:
35Q53
On the high-energy solitary wave solutions for a generalized KP equation in a bounded domain. (English) Zbl 1501.35346
Ukr. Math. J. 74, No. 3, 350-363 (2022) and Ukr. Mat. Zh. 74, No. 3, 311-322 (2022).
Justification of the KP-II approximation in dynamics of two-dimensional FPU systems. (English) Zbl 1498.35476
Dynamics of rogue lumps on a background of two-dimensional homoclinic orbits in the Fokas system. (English) Zbl 1505.37085
Numerical experiments on extreme waves through oblique-soliton interactions. (English) Zbl 1505.76014
General breather and rogue wave solutions to the complex short pulse equation. (English) Zbl 1496.35138
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system. (English) Zbl 1504.35522
A class of reductions of the two-component KP hierarchy and the Hirota-Ohta system. (English. Russian original) Zbl 1515.37067
Theor. Math. Phys. 211, No. 1, 473-482 (2022); translation from Teor. Mat. Fiz. 211, No. 1, 37-47 (2022).
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
Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. (English) Zbl 1489.35257
On the Cauchy problems associated to a ZK-KP-type family equations with a transversal fractional dispersion. (English) Zbl 1492.35277
Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation. (English) Zbl 1491.65159
Kadomtsev-Petviashvili hierarchy reduction, soliton and semi-rational solutions for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid. (English) Zbl 1499.35154
Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system. (English) Zbl 1484.35132
\(N\)-soliton, \(M\)-breather and hybrid solutions of a time-dependent Kadomtsev-Petviashvili equation. (English) Zbl 1540.35356
Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili equation. (English) Zbl 1508.35133
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