A KdV-like advection-dispersion equation with some remarkable properties

DOI10.1016/j.cnsns.2012.03.001zbMath1248.35191arXiv1109.3745OpenAlexW2132782797MaRDI QIDQ450430

Govind S. Krishnaswami, Anantanarayanan Thyagaraja, Dilip P. Ahalpara, Abhijit Sen

Publication date: 13 September 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3745

zbMATH Keywords

travelling wavesrecurrencegenetic programmingadvection dispersion equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (10)

Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities ⋮ A family of wave equations with some remarkable properties ⋮ Symmetry analysis, invariant solutions, and conservation laws of fractional KdV-like equation ⋮ Linearizability for third order evolution equations ⋮ Surfaces of revolution associated with the kink-type solutions of the SIdV equation ⋮ The logarithmic \((1+1)\)-dimensional KdV-like and \((2+1)\)-dimensional KP-like equations: Lie group analysis, conservation laws and double reductions ⋮ Lie symmetry analysis, exact solutions, and conservation laws for the generalized time-fractional KdV-like equation ⋮ Bifurcations and exact traveling wave solutions for the KdV-like equation ⋮ Kinks and travelling wave solutions for Burgers-like equations ⋮ Symmetries and solutions of a third order equation

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• The Korteweg–deVries Equation: A Survey of Results
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Long Non‐Linear Waves in Fluid Flows

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