Darboux transformations of classical Boussinesq system and its new solutions

From MaRDI portal
Publication:998044

DOI10.1016/S0375-9601(00)00583-1zbMath1115.35329WikidataQ126548298 ScholiaQ126548298MaRDI QIDQ998044

Jin E. Zhang, Yi-Shen Li, Wen-Xiu Ma

Publication date: 10 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)




Related Items (59)

Nonlocal symmetry and consistent Riccati expansion integrability of the (1+1)-dimensional integrable nonlinear dispersive-wave systemBilinear form and new multi-soliton solutions of the classical Boussinesq-Burgers systemApplications of an anti-symmetry loop algebra and its expanding formsVadermonde-Type Odd-Soliton Solutions for the Whitham–Broer–Kaup Model in the Shallow Water Small-Amplitude RegimeViewing the solar system via a variable-coefficient nonlinear dispersive-wave systemOceanic studies via a variable-coefficient nonlinear dispersive-wave system in the solar systemExplicit solutions and conservation laws of the logarithmic-KP equationThe elastic-fusion-coupled interaction for the Boussinesq equation and new soliton solutions of the KP equationSome invariant solutions and conservation laws of a type of long-water wave systemThe integrability of a new fractional soliton hierarchy and its applicationNew solitary wave solutions for two nonlinear evolution equationsLie symmetry analysis, nonlinear self-adjointness and conservation laws to an extended \((2+1)\)-dimensional Zakharov-Kuznetsov-Burgers equationDarboux transformations for the supersymmetric two-boson hierarchyAn integrable hierarchy and Darboux transformations, bilinear Bäcklund transformations of a reduced equationA coupled nonlinear Schrödinger type equation and its explicit solutionsExplicit solutions for a modified \(2+1\)-dimensional coupled Burgers equation by using Darboux transformationExtended Jacobi elliptic function expansion solutions of variant Boussinesq equationsRiemann theta solutions and their asymptotic property for a \((3+1)\)-dimensional water wave equationElastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave systemThe Fokas method for the Broer-Kaup system on the half-lineExplicit solutions and Darboux transformations of a generalized D-Kaup-Newell hierarchyAbundant new travelling wave solutions for the (2 + 1)-dimensional sine-Gordon equationNonlinear dynamic behaviors of the generalized (3+1)‐dimensional KP equation\(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow waterDarboux transformation and \(N\)-soliton solutions for a more general set of coupled integrable dispersionless systemA nonlocal variable coefficient modified KdV equation derived from a two-layer fluid system and its exact solutionsSoliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow waterA generalized AKNS hierarchy, bi-Hamiltonian structure, and Darboux transformationFully resonant soliton interactions in the Whitham-Broer-Kaup system based on the double Wronskian solutionsThree-dimensional coupled NLS equations for envelope gravity solitary waves in baroclinic atmosphere and modulational instabilityDarboux transformation of generalized coupled KdV soliton equation and its odd-soliton solutionsOn Boussinesq models of constant depthLie point symmetry, conservation laws and exact power series solutions to the Fujimoto-Watanabe equationANALYTIC DARK SOLITON SOLUTIONS FOR A GENERALIZED VARIABLE-COEFFICIENT HIGHER-ORDER NONLINEAR SCHRÖDINGER EQUATION IN OPTICAL FIBERS USING SYMBOLIC COMPUTATIONEXACT TRAVELING WAVE SOLUTIONS OF THE GENERALIZED HIROTA–SATSUMA COUPLED KdV EQUATIONBroer-Kaup system with corrections via inverse scattering transform(2 + 1)-dimensional coupled model for envelope Rossby solitary waves and its solutions as well as chirp effectBroer-Kaup system revisit: inelastic interaction and blowup solutionsDarboux transformation of the Drinfeld-Sokolov-Satsuma-Hirota system and exact solutionsNew exact travelling wave solutions to three nonlinear evolution equationsLoss-less propagation, elastic and inelastic interaction of electromagnetic soliton in an anisotropic ferromagnetic nanowireDarboux transformations of classical Boussinesq system and its multi-soliton solutionsNew integrable lattice hierarchies and associated propertiesDarboux transformation and explicit solutions for the Satsuma-Hirota coupled equationA generalized Broer-Kaup (GBK) hierarchy and its expanding integrable systemSome generalized isospectral-nonisospectral integrable hierarchiesSOLITONS AND LOCALIZED EXCITATIONS FOR THE (2+1)-DIMENSIONAL DISPERSIVE LONG WAVE SYSTEM VIA SYMBOLIC COMPUTATIONGENERALIZED mKdV EQUATION, LIOUVILLE EQUATION, SINE-GORDON EQUATION AND SINH-GORDON EQUATION AS WELL AS A FORMAL BÄCKLUND TRANSFORMATIONNew interaction solutions from residual symmetry reduction and consistent Riccati expansion of the \((2+1)\)-dimensional Boussinesq equationThe exact solution and integrable properties to the variable-coefficient modified Korteweg-de Vries equationBifurcations of travelling wave solutions for two generalized Boussinesq systemsDARBOUX TRANSFORMATION AND VARIOUS SOLUTIONS FOR A NONLINEAR EVOLUTION EQUATION IN (3 + 1)-DIMENSIONSTHE PAINLEVÉ INTEGRABILITY AND N-SOLITONIC SOLUTION IN TERMS OF THE WRONSKIAN DETERMINANT FOR A VARIABLE-COEFFICIENT VARIANT BOUSSINESQ MODEL OF NONLINEAR WAVESThe Application of Neumann Type Systems for Solving Integrable Nonlinear Evolution EquationsSolitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity wavesA generalized coupled Korteweg–de Vries hierarchy, bi-Hamiltonian structure, and Darboux transformationN-soliton solutions of the KdV6 and mKdV6 equationsAn integrable system and associated integrable models as well as Hamiltonian structuresIntegrable discretizations for classical Boussinesq system



Cites Work


This page was built for publication: Darboux transformations of classical Boussinesq system and its new solutions