A new exact solution of Burgers' equation with linearized solution
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Publication:1665628
DOI10.1155/2015/414808zbMath1394.35421OpenAlexW1727145193WikidataQ59118518 ScholiaQ59118518MaRDI QIDQ1665628
Publication date: 27 August 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/414808
KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcations in context of PDEs (35B32) Solutions to PDEs in closed form (35C05)
Related Items (4)
Non-auto-Bäcklund transformation and novel abundant explicit exact solutions of the variable coefficients Burger equation ⋮ New exact solutions of Burgers' equation using power index method ⋮ Novel methods for finding general forms of new multi-soliton solutions to (1+1)-dimensional KdV equation and (2+1)-dimensional Kadomtsev–Petviashvili (KP) equation ⋮ The new exact solitary and multi-soliton solutions for the \((2+1)\)-dimensional Zakharov-Kuznetsov equation
Cites Work
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- One method for finding exact solutions of nonlinear differential equations
- Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
- On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation
- Seven common errors in finding exact solutions of nonlinear differential equations
- Modified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs
- Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity
- Invariant measures for Burgers equation with stochastic forcing
- A second-order projection method for the incompressible Navier-Stokes equations
- Multiple-front solutions for the Burgers equation and the coupled Burgers equations
- Cole‐Hopf Transformations for Higher Dimensional Burgers Equations With Variable Coefficients
- Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
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