Lie symmetries, optimal system, group-invariant solutions and dynamical behaviors of solitary wave solutions for a (3+1)-dimensional KdV-type equation

Lie symmetry analysis and generalized invariant solutions of (2+1)-dimensional dispersive long wave (DLW) equations

(2020) Sachin Kumar et al.   PHYSICA SCRIPTA

Propagation of W-shaped, M-shaped and other exotic optical solitons in the perturbed Fokas–Lenells equation

(2020) Gawarai Dieu-donne et al.   European Physical Journal Plus

Lie symmetries and dynamics of exact solutions of dissipative Zabolotskaya–Khokhlov equation in nonlinear acoustics

(2020) Dig Vijay Tanwar et al.   European Physical Journal Plus

Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation

(2020) Sachin Kumar et al.   CHAOS SOLITONS & FRACTALS

Group invariant solutions of (3+1)-dimensional generalized B-type Kadomstsev Petviashvili equation using optimal system of Lie subalgebra

(2019) Sachin Kumar et al.   PHYSICA SCRIPTA

Some new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation by Lie symmetry approach

(2019) Dharmendra Kumar et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Optimal system, invariant solutions and evolution of weak discontinuity for isentropic drift flux model

(2018) Purnima Satapathy et al.   APPLIED MATHEMATICS AND COMPUTATION

Complexiton solutions for (3+1) dimensional KdV-type equation

(2018) Ömer Ünsal   COMPUTERS & MATHEMATICS WITH APPLICATIONS

New solitary wave solutions of the time-fractional Cahn-Allen equation via the improved ($\frac{G'}{G}$G G)-expansion method

(2018) Fiza Batool et al.   European Physical Journal Plus

Rogue waves, homoclinic breather waves and soliton waves for a (3 + 1)-dimensional non-integrable KdV-type equation

(2018) Jin-Jin Mao et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Homoclinic breather wave, rouge wave and interaction solutions for a (3+1)-dimensional KdV-type equation

(2018) Na Liu et al.   PHYSICA SCRIPTA

Rational solutions to a KdV-like equation

(2015) Yi Zhang et al.   APPLIED MATHEMATICS AND COMPUTATION

A direct algorithm of one-dimensional optimal system for the group invariant solutions

(2015) Xiaorui Hu et al.   JOURNAL OF MATHEMATICAL PHYSICS

New solutions for two integrable cases of a generalized fifth-order nonlinear equation

(2015) Abdul-Majid Wazwaz   MODERN PHYSICS LETTERS B

Soliton solutions for two (3+1) -dimensional non-integrable KdV-type equations

(2012) Abdul-Majid Wazwaz   MATHEMATICAL AND COMPUTER MODELLING

Nonlinear self-adjointness and conservation laws

(2011) N H Ibragimov   Journal of Physics A-Mathematical and Theoretical

Bright and dark solitons of the generalized nonlinear Schrödinger’s equation

(2009) Anjan Biswas et al.   Communications in Nonlinear Science and Numerical Simulation

A comparative study of numerical solutions of a class of KdV equation

(2007) A.J. Khattak et al.   APPLIED MATHEMATICS AND COMPUTATION