Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients
From MaRDI portal
Publication:2219569
DOI10.1016/j.cnsns.2020.105628zbMath1456.35072OpenAlexW3107146261WikidataQ115461029 ScholiaQ115461029MaRDI QIDQ2219569
Xing Lü, Xian-Feng Tang, Si-Jia Chen
Publication date: 20 January 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105628
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Other special methods applied to PDEs (35A25) Semilinear parabolic equations (35K58) Soliton solutions (35C08)
Related Items (15)
Multiwave interaction solutions for a (3 + 1)-dimensional generalized BKP equation ⋮ \(M\)-lump solution, soliton solution and rational solution to a \((3+1)\)-dimensional nonlinear model ⋮ Conformable space-time fractional nonlinear \((1+1)\)-dimensional Schrödinger-type models and their traveling wave solutions ⋮ Dynamics and numerical simulation of optical pulses in the passively mode-locked Er-doped fiber laser ⋮ Generalized Hermite polynomials for the Burgers hierarchy and point vortices ⋮ Abundant resonant behaviors of soliton solutions to the \((3+1)\)-dimensional BKP-Boussinesq equation ⋮ Bilinear form, bilinear Bäcklund transformations, breather and periodic-wave solutions for a \((2+1)\)-dimensional shallow water equation with the time-dependent coefficients ⋮ Dynamic behaviors of the lump solutions and mixed solutions to a (2+1)-dimensional nonlinear model ⋮ Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types ⋮ Exact solutions and conservation laws of a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation ⋮ Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations ⋮ New general interaction solutions to the KPI equation via an optional decoupling condition approach ⋮ A generalized \((1+2)\)-dimensional Bogoyavlenskii-Kadomtsev-Petviashvili (BKP) equation: multiple exp-function algorithm; conservation laws; similarity solutions ⋮ Study on Lump Behavior for a New (3+1)-Dimensional Generalised Kadomtsev-Petviashvili Equation ⋮ Observation of resonant solitons and associated integrable properties for nonlinear waves
Cites Work
- Unnamed Item
- Unnamed Item
- Madelung fluid description on a generalized mixed nonlinear Schrödinger equation
- Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model
- Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation
- Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
- New kink multi-soliton solutions for the \((3+1)\)-dimensional potential-Yu-Toda-Sasa-Fukuyama equation
- Resonant behavior of multiple wave solutions to a Hirota bilinear equation
- Transformations and multi-solitonic solutions for a generalized variable-coefficient Kadomtsev-Petviashvili equation
- New exact soliton-like solutions and special soliton-like structures of the \((2+1)\)-dimensional Burgers equation
- Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation
- Darboux transformation and explicit solutions for the Satsuma-Hirota coupled equation
- Bäcklund transformations and their applications
- Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
- Bäcklund transformation of variable-coefficient Boiti-Leon-Manna-Pempinelli equation
- Periodic, breather and rogue wave solutions for a generalized \((3+1)\)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics
- Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves
- Lump and interaction solutions to the \((2+1)\)-dimensional Burgers equation
- Analytical study on a two-dimensional Korteweg-de Vries model with bilinear representation, Bäcklund transformation and soliton solutions
- Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations
- Obliquely propagating skew KP lumps
- Nonlocal modified KdV equations and their soliton solutions by Hirota method
- Kink solutions of the generalized, super-diffusive Burgers equation with memory
- Multi-soliton solutions for a nonlocal complex coupled dispersionless equation
- Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation
- On breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation
- Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation
- Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
- Multi-exponential wave solutions to two extended Jimbo-Miwa equations and the resonance behavior
- The soliton solutions for the Wadati-Konno-Ichikawa equation
- A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equations via the linear superposition principle
- Abundant exact solutions and interaction phenomena of the \((2 + 1)\)-dimensional YTSF equation
- Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction
- Novel characteristics of lump and lump-soliton interaction solutions to the generalized variable-coefficient Kadomtsev-Petviashvili equation
- On multi-soliton solutions for the \((2+1)\)-dimensional breaking soliton equation with variable coefficients in a graded-index waveguide
- Lump solutions to the Kadomtsev-Petviashvili equation
- Construction of non-travelling wave solutions for the generalized variable-coefficient Gardner equation
- A new extended Riccati equation rational expansion method and its application
- The exact solution and integrable properties to the variable-coefficient modified Korteweg-de Vries equation
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- Soliton Solutions of the KP Equation and Application to Shallow Water Waves
- On a family of solutions of the Kadomtsev–Petviashvili equation which also satisfy the Toda lattice hierarchy
- General soliton and (semi‐)rational solutions to the nonlocal Mel'nikov equation on the periodic background
- Lump Solutions and Interaction Phenomenon for (2+1)-Dimensional Sawada–Kotera Equation
- General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
- On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids
This page was built for publication: Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients
