Traveling wave solutions, power series solutions and conservation laws of the nonlinear dispersion equation

KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Traveling wave solutions (35C07)

Cites Work

Soliton solutions for \((2+1)\)-dimensional and \((3+1)\)-dimensional \(K(m, n)\) equations
Dynamical behavior of loop solutions for the \(K(2, 2)\) equation
Exact and analytical solution for nonlinear dispersive \(K(m,p)\) equations using homotopy perturbation method
1-soliton solution of the \(K(m,n)\) equation with generalized evolution
The method and topological soliton solution of the \(K(m, n)\) equation
Classification of the travelling waves in the nonlinear dispersive KdV equation
A numerical study of compactons
Symbolic computation on exact solutions of a coupled Kadomtsev-Petviashvili equation: Lie symmetry analysis and extended tanh method
Conservation laws by symmetries and adjoint symmetries
Binary Darboux transformation for general matrix mKdV equations and reduced counterparts
Reduced non-local integrable NLS hierarchies by pairs of local and non-local constraints
Invariant solutions and nonlinear self-adjointness of the two-component Chaplygin gas equation
The extended tanh method and its applications for solving nonlinear physical models
Riemann-Hilbert method and multi-soliton solutions of an extended modified Korteweg-de Vries equation with \(N\) distinct arbitrary-order poles
Analytic and loop solutions for the K(2,2) equation (focusing branch)
Compactons: Solitons with finite wavelength
Integrable nonlocal nonlinear Schrödinger equations associated with 𝑠𝑜(3,ℝ)
Lie Symmetry Analysis and Wave Propagation in Variable-Coefficient Nonlinear Physical Phenomena
Bifurcations and Exact Solutions in a Nonlinear Wave Equation
New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations
The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

This page was built for publication: Traveling wave solutions, power series solutions and conservation laws of the nonlinear dispersion equation