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Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons - MaRDI portal

Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons (Q2677458)

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Language	Label	Description	Also known as
English	Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons	scientific article

Statements

scholarly article

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Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons (English)

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Chaos, Solitons and Fractals

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publication date

13 January 2023

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zbMATH Keywords

ocean

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shallow water

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Whitham-Broer-Kaup-like system

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hetero-Bäcklund transformations

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bilinear forms

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\(M\) solitons

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symbolic computation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.chaos.2022.112486

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Localized nonlinear waves on spatio-temporally controllable backgrounds for a (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq model in water waves

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Propagation of wave solutions of nonlinear Heisenberg ferromagnetic spin chain and Vakhnenko dynamical equations arising in nonlinear water wave models

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Investigation of breaking dynamics for Riemann waves in shallow water

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Comment on ``Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized \((2+1)\)-dimensional dispersive long-wave system''

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Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system

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Beholding the shallow water waves near an ocean beach or in a lake via a Boussinesq-Burgers system

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Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions

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Symbolic computation on a \((2+1)\)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system for the water waves

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Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system

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Unconventional characteristic line for the nonautonomous KP equation

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Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves

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Head-on collision between two hydroelastic solitary waves in shallow water

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Parabola solitons for the nonautonomous KP equation in fluids and plasmas

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Vector bright soliton interactions of the two-component AB system in a baroclinic fluid

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Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics

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Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics

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Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics

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Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique

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Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics

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Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics

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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

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Application of Modified<i>G</i>′/<i>G</i>-Expansion Method to Traveling Wave Solutions for Whitham–Broer–Kaup-Like Equations

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Application of the bifurcation method to the Whitham-Broer-Kaup-like equations

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Soliton excitations and periodic waves without dispersion relation in shallow water system.

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The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations

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Variational methods and applications to water waves

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Approximate equations for long water waves

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Mathematics of dispersive water waves

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Evolution of initial discontinuities in the Riemann problem for the Kaup-Boussinesq equation with positive dispersion

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Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber

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Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain

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Lie group analysis for a higher-order Boussinesq-Burgers system

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Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system

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Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix

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Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber

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Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation

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Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre

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Alfvén solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma

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Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber

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Lie symmetry analysis and conservation law of variable-coefficient Davey-Stewartson equation

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Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system

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Bilinear auto-Bäcklund transformations and similarity reductions for a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system in fluid mechanics and lattice dynamics

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Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended \((3+1)\)-dimensional nonlinear Schrödinger equation in an optical fiber

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Identifiers

zbMATH Open document ID

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10.1016/j.chaos.2022.112486

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2677458

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