Group theoretical analysis of dispersive long wave equations in two space dimensions
From MaRDI portal
Publication:2276688
DOI10.1016/0167-2789(90)90115-6zbMath0725.35104OpenAlexW2021301046MaRDI QIDQ2276688
Publication date: 1990
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(90)90115-6
Second-order nonlinear hyperbolic equations (35L70) Applications of Lie groups to the sciences; explicit representations (22E70)
Related Items
Construction of new soliton-like solutions of the (2 + 1) dimensional dispersive long wave equation, Travelling wave solutions for fractional Korteweg-de Vries equations via an approximate-analytical method, Numerical analysis of higher-dimensional dispersive long-wave equations, Determinant structure for the \({(2 + 1)}\)-dimensional dispersive long wave system, Bifurcation of travelling wave solutions for a \((2+1)\)-dimensional nonlinear dispersive long wave equation, New analytical technique for solving a system of nonlinear fractional partial differential equations, Group classification of a class of coupled equations, The fourth Painlevé equation and associated special polynomials, Construction of new variable separation excitations via extended projective Riccati equation expansion method in \((2+1)\)-dimensional dispersive long wave systems, Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system, Solitary wave solutions and traveling wave solutions for systems of time-fractional nonlinear wave equations via an analytical approach, Exact combined solutions for the \((2+1)\)-dimensional dispersive long water-wave equations, Bäcklund Transformations and Solution Hierarchies for the Fourth Painlevé Equation, A new approach for seeking coefficient function solutions of conformable fractional partial differential equations based on the Jacobi elliptic equation, Unnamed Item, Oscillating Solitons for (2+1)-Dimensional Nonlinear Models, Data-driven wave solutions of (2+1)-dimensional nonlinear dispersive long wave equation by deep learning, Homotopy analysis and homotopy Padé methods for (1+1) and (2+1)‐dimensional dispersive long wave equations, Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics, Abundant coherent structures of the dispersive long-wave equation in \((2+1)\)-dimensional spaces., New exact solutions and conservation laws of the (2+1)-dimensional dispersive long wave equations, Conformally invariant elliptic Liouville equation and its symmetry-preserving discretization, New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics, Novel interactions between solitons of the \((2+1)\)-dimensional dispersive long wave equation, Symbolic computation and new families of exact solutions to the \((2 + 1)\)-dimensional dispersive long-wave equations, Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics, Generalized algebraic method and new exact traveling wave solutions for \((2 + 1)\)-dimensional dispersive long wave equation, An extended Jacobi elliptic function rational expansion method and its application to \((2+1)\)-dimensional dispersive long wave equation, Interaction solutions of a \((2+1)\)-dimensional dispersive long wave system, Symbolic computation of exact solutions expressible in rational formal hyperbolic and elliptic functions for nonlinear partial differential equations, A new extended Riccati equation rational expansion method and its application, Symbolic computation and construction of soliton-like solutions to the \((2 + 1)\)-dimensional dispersive long-wave equations, New interaction property of \((2+1)\)-dimensional localized excitations from Darboux transforma\-tion, The modified extended Fan's subequation method and its application to \((2+1)\)-dimensional dispersive long wave equation, Comment on: ``On the extended applications of homogeneous balance method, New explicit and exact travelling wave solutions for a system of dispersive long wave equations, A method for solving initial-value problem and finding exact solutions of nonlinear partial differential equations., A series of new soliton-like solutions and double-like periodic solutions of a \((2 + 1)\)-dimensional dispersive long wave equation, New variable separation excitations of \((2+1)\)-dimensional dispersive long-water wave system obtained by an extended mapping approach, Exact solutions for nonlinear partial differential equation: a new approach, Exp-function method for a nonlinear ordinary differential equation and new exact solutions of the dispersive long wave equations, New exact solutions to mKdV-Burgers equation and \((2 + 1)\)-dimensional dispersive long wave equation via extended Riccati equation method, Bifurcation of travelling wave solutions for \( (2+1)\)-dimension nonlinear dispersive long wave equation, Nonpropagating solitary waves in \((2+1)\)-dimensional generalized dispersive long wave systems, SOLITONS AND LOCALIZED EXCITATIONS FOR THE (2+1)-DIMENSIONAL DISPERSIVE LONG WAVE SYSTEM VIA SYMBOLIC COMPUTATION, Lie symmetry analysis and reductions of a two-dimensional integrable generalization of the Camassa-Holm equation, Solitons, chaos and fractals in the \((2 + 1)\)-dimensional dispersive long wave equation, Some analytical solutions for the \((2+1)\)-dimensional nonintegrable and integrable dispersive long wave equations, Classical Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave system, Generalized Riccati equation expansion method and its application to the (3 + 1)-dimensional Jumbo-Miwa equation, A new general algebraic method with symbolic computation to construct new doubly-periodic solutions of the \((2 + 1\))-dimensional dispersive long wave equation, Lie Symmetries, Kac-Moody-Virasoro Algebras and Integrability of Certain (2+1)-Dimensional Nonlinear Evolution Equations, A Nonlinear Transformation of the Dispersive Long Wave Equations in (2+1) Dimensions and its Applications, On the extended applications of homogeneous balance method, New multisoliton solutions of the \((2+1)\)-dimensional dispersive long wave equations, Auxiliary equation method for solving nonlinear partial differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equations différentielles du second ordre en Y et du second degré en Y dont l'intégrale générale est à points critiques fixes
- Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem
- Mathematics of dispersive water waves
- A Higher-Order Water-Wave Equation and the Method for Solving It
- Solitons in Shallow Seas of Variable Depth and in Marine Straits
- The Painlevé property for partial differential equations
- KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
- Spectral transform for a two spatial dimension extension of the dispersive long wave equation
- On the infinite-dimensional symmetry group of the Davey–Stewartson equations
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
- The inverse scattering transform: Semi-infinite interval
- Approximate equations for long water waves
- Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups
- On the Interactions of Permanent Waves of Finite Amplitude
- Thermodynamik