Propagation of novel traveling wave envelopes of Zhiber–Shabat equation by using Lie analysis

Symmetries, invariants of ordinary differential equations (34C14) Algebraic methods (93B25) Initial value problems for nonlinear higher-order PDEs (35G25) Traveling wave solutions (35C07) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

Double exp-function method for multisoliton solutions of the Tzitzeica-Dodd-Bullough equation
A new auxiliary equation method and its application to the Sharma-Tasso-Olver model
On soliton solutions of time fractional form of Sawada-Kotera equation
New exact bounded travelling wave solutions for the Zhiber-Shabat equation
Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to \((1+1)\)-dimensional dispersive long wave equation
The tanh method for traveling wave solutions of nonlinear equations
New integrable (2+1)- and (3+1)-dimensional sinh-Gordon equations with constant and time-dependent coefficients
Dynamical behavior of micro-structured solids with conformable time fractional strain wave equation
On the estimation of artificial dissipation and dispersion errors in a generic partial differential equation
Investigation of shallow water waves and solitary waves to the conformable 3D-WBBM model by an analytical method
The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations
On convergence of homotopy analysis method and its application to fractional integro-differential equations
Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
Link between solitary waves and projective Riccati equations
Partial Differential Equations in Thin Film Flows in Fluid Dynamics and Rivulets
Travelling Wave Solutions to the Zhiber-Shabat and Related Equations Using Rational Hyperbolic Method
ON THE COMPLEX MIXED DARK-BRIGHT WAVE DISTRIBUTIONS TO SOME CONFORMABLE NONLINEAR INTEGRABLE MODELS
Highly scalable parallel domain decomposition methods with an application to biomechanics