On a Whitham-Broer-Kaup-like system arising in the oceanic shallow water
From MaRDI portal
Publication:6545688
DOI10.1016/J.CJPH.2022.11.005MaRDI QIDQ6545688
Yong-Jiang Guo, Xin-Yi Gao, Wen-Rui Shan
Publication date: 29 May 2024
Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)
symbolic computationsimilarity reductionsscaling transformationhetero-Bäcklund transformationsWhitham-Broer-Kaup-like systemoceanic shallow water
Symbolic computation and algebraic computation (68W30) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Traveling wave solutions (35C07) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24) PDEs in connection with geophysics (35Q86)
Cites Work
- Title not available (Why is that?)
- Parabola solitons for the nonautonomous KP equation in fluids and plasmas
- The extended \(\left( \frac {G^{\prime}}{G}\right)\)-expansion method and its applications to the Whitham-Broer-Kaup-like equations and coupled Hirota-Satsuma KdV equations
- Soliton excitations and periodic waves without dispersion relation in shallow water system.
- Lie symmetry analysis and conservation law of variable-coefficient Davey-Stewartson equation
- Exponential polynomials
- Application of the bifurcation method to the Whitham-Broer-Kaup-like equations
- Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system
- Magnetooptic studies on a ferromagnetic material via an extended \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system
- Oceanic shallow-water symbolic computation on a \((2+1)\)-dimensional generalized dispersive long-wave system
- Symbolically computing the shallow water via a \((2+1)\)-dimensional generalized modified dispersive water-wave system: similarity reductions, scaling and hetero-Bäcklund transformations
- Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber
- Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended \((3+1)\)-dimensional nonlinear Schrödinger equation in an optical fiber
- Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system
- Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain
- The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation
- Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves
- Unconventional characteristic line for the nonautonomous KP equation
- The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
- Mathematics of dispersive water waves
- Lie group analysis for a higher-order Boussinesq-Burgers system
- Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system
- Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation
- Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons
- \(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium
- Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions
- Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan-Porsezian-Daniel equation
- New similarity reductions of the Boussinesq equation
- Approximate equations for long water waves
- Evolution of initial discontinuities in the Riemann problem for the Kaup-Boussinesq equation with positive dispersion
- On a direct bilinearization method: Kaup's higher-order water wave equation as a modified nonlocal Boussinesq equation
- Application of ModifiedG′/G-Expansion Method to Traveling Wave Solutions for Whitham–Broer–Kaup-Like Equations
- Variational methods and applications to water waves
- Travelling wave solutions of Drinfel'd-Sokolov-Wilson, Whitham-Broer-Kaup and \((2+1)\)-dimensional Broer-Kaup-Kupershmit equations and their applications
- Lie symmetries, optimal system and group-invariant solutions of the \((3+1)\)-dimensional generalized KP equation
- N-solitons and cuspon waves solutions of \((2 + 1)\)-dimensional Broer-Kaup-Kupershmidt equations via hidden symmetries of Lie optimal system
- Dispersive of propagation wave structures to the Dullin-Gottwald-Holm dynamical equation in a shallow water waves
- Singular manifold, auto-Bäcklund transformations and symbolic-computation steps with solitons for an extended three-coupled Korteweg-de Vries system
- Two new types of nonlocal Boussinesq equations in water waves: bright and dark soliton solutions
- Novel exact and approximate solutions to the family of the forced damped Kawahara equation and modeling strong nonlinear waves in a plasma
- Bilinear auto-Bäcklund transformation, soliton and periodic-wave solutions for a (2+1)-dimensional generalized Kadomtsev-Petviashvili system in fluid mechanics and plasma physics
- Similarity reductions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics
- In oceanography, acoustics and hydrodynamics: investigations on an extended coupled (2+1)-dimensional Burgers system
Related Items (1)
This page was built for publication: On a Whitham-Broer-Kaup-like system arising in the oceanic shallow water
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6545688)
