Bilinear equations and resonant solutions characterized by Bell polynomials

From MaRDI portal
Publication:2447117

DOI10.1016/S0034-4877(14)60003-3zbMath1396.35054OpenAlexW2008792808MaRDI QIDQ2447117

Wen-Xiu Ma

Publication date: 24 April 2014

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(14)60003-3




Related Items (69)

Breather-type multi-solitary waves to the Kadomtsev-Petviashvili equation with positive dispersionNew rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficientsQualitative analysis to traveling wave solutions of Zakharov-Kuznetsov-Burgers equation and its damped oscillatory solutionsGeneralized bilinear differential operators application in a \((3+1)\)-dimensional generalized shallow water equationBäcklund transformation and solutions of a \((3+1)\)-dimensional nonlinear evolution equationRational solutions to a KdV-like equation\(N\)-soliton solutions and the Hirota conditions in (1 + 1)-dimensionsBäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubblesConstructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equationStudy of lump dynamics based on a dimensionally reduced Hirota bilinear equationMixed lump-kink solutions to the KP equationA new simplified bilinear method for the \(N\)-soliton solutions for a generalized FmKdV equation with time-dependent variable coefficientsLump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equationMultiple-wave solutions to generalized bilinear equations in terms of hyperbolic and trigonometric solutionsApplications of linear superposition principle to resonant solitons and complexitonsResonant multiple wave solutions for a \((3+1)\)-dimensional nonlinear evolution equation by linear superposition principleOn the breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equationSoliton molecules in Sharma-Tasso-Olver-Burgers equationComplexiton solutions to soliton equations by the Hirota methodThe solitary waves, quasi-periodic waves and integrability of a generalized fifth-order Korteweg-de Vries equationIntegrability of a (2+1)-dimensional generalized breaking soliton equationM-lump solutions to the \((2+1)\)-dimensional generalized Calogero-Bogoyavlenshii-Schiff equationSome inequalities and an application of exponential polynomialsMultiple Exp-Function Solutions, Group Invariant Solutions and Conservation Laws of a Generalized (2+1)-dimensional Hirota-Satsuma-Ito EquationLie symmetry analysis and different types of solutions to a generalized bidirectional sixth-order Sawada-Kotera equationInteraction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton typesThe abundant mixed solutions of \((2+1)\)-dimensional potential Yu-Toda-Sasa-Fukuyama equationBright and dark soliton solutions and Bäcklund transformation for the Eckhaus-Kundu equation with the cubic-quintic nonlinearityDynamics of lump solitary wave of Kadomtsev-Petviashvili-Boussinesq-like equationMixed lump-kink solutions to the BKP equationA coupled Ramani equation: multiple soliton solutionsGeneralized bilinear differential operators, binary Bell polynomials, and exact periodic wave solution of Boiti-Leon-Manna-Pempinelli equationExplicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equationsBinary Bell polynomials, Hirota bilinear approach to Levi equationImproved Bell-polynomial procedure for the higher-order Korteweg-de Vries equations in fluid dynamicsExact rational solutions to a Boussinesq-like equation in (\(1 + 1\))-dimensionsBell Polynomials to the Kadomtsev-Petviashivili Equation with Self-Consistent SourcesA Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchySolitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff EquationSoliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relationsWronskian and linear superposition solutions to generalized KP and BKP equationsApplication of exp-function method to wave solutions of the sine-Gordon and Ostrovsky equationsRational solutions to two new KP-like equationsModified method of simplest equation and its applications to the Bogoyavlenskii equationThe evolution of a clogging sidewalk caused by a dockless bicycle-sharing system: a stochastic particles modelSolitons and breathers for a generalized nonlinear Schrödinger equation via the binary Bell polynomialsBilinear Bäcklund transformations, kink periodic solitary wave and lump wave solutions of the Bogoyavlenskii-Kadomtsev-Petviashvili equationNew bilinearization, Bäcklund transformation and infinite conservation laws for the KdV6 equation with Bell polynomialsRational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computationAbundant lump-type solutions of the Jimbo-Miwa equation in \((3+1)\)-dimensionsRational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equationBäcklund transformations and solutions of some generalized nonlinear evolution equationsOn multivariate logarithmic polynomials and their propertiesLump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equationDiversity of interaction solutions of a shallow water wave equationAbundant lumps and their interaction solutions of \((3+1)\)-dimensional linear PDEs\(N\)-soliton solution of a combined pKP-BKP equationBilinear approach to quasi-periodic wave solutions of the Kersten-Krasil'shchik coupled KdV-mKdV systemVarious breathers and rogue waves for the coupled long-wave-short-wave systemIntegrability, bilinearization, solitons and exact three wave solutions for a forced Korteweg-de Vries equationDiversity of interaction solutions to the \((2+1)\)-dimensional ito equationA class of third-order nonlinear evolution equations admitting invariant subspaces and associated reductionsSome identities for a sequence of unnamed polynomials connected with the Bell polynomialsA new perspective to discuss Korteweg-de Vries-like equationSome inequalities for generalized Bell-Touchard polynomialsCharacteristics of integrability, bidirectional solitons and localized solutions for a (\(3+1\))-dimensional generalized breaking soliton equationMultiple-soliton solutions and lumps of a \((3+1)\)-dimensional generalized KP equationOn the integrability of the (1+1)‐dimensional and (2+1)‐dimensional Ito equationsLump solutions to the Kadomtsev-Petviashvili equation



Cites Work


This page was built for publication: Bilinear equations and resonant solutions characterized by Bell polynomials