Results 161 to 170 of about 1,197 (185)

On the Bäcklund Transformations of KDV Equations and Modified KDV Equations

1989
Shiing-shen Chern, Chia-kuei Peng
openaire   +2 more sources

On traveling wave solutions to combined KdV–mKdV equation and modified Burgers–KdV equation

Communications in Nonlinear Science and Numerical Simulation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

The Family of the KdV Equations

2009
The ubiquitous Korteweg de-Vries (KdV) equation [14] in dimensionless variables reads $$ u_t+ auu_x+ u_{xxx}= 0, $$ (13.1) where subscripts denote partial derivatives. The parameter a can be scaled to any real number, where the commonly used values are a=±1 or a=±6.
openaire   +1 more source

Two new Painlevé integrable KdV–Calogero–Bogoyavlenskii–Schiff (KdV-CBS) equation and new negative-order KdV-CBS equation

Nonlinear Dynamics, 2021
Abdul-Majid Wazwaz, Wazwaz Abdul-Majid
exaly  

A new integrable equation that combines the KdV equation with the negative‐order KdV equation

Mathematical Methods in the Applied Sciences, 2018
Abdul-Majid Wazwaz
exaly  

Rational solutions to a KdV-like equation

Applied Mathematics and Computation, 2015
Wen-Xiu Ma
exaly  

An auto-Backlund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications

Physics Letters, Section A: General, Atomic and Solid State Physics, 2002
Yueming Wang
exaly  

A Darboux transformation of the super KdV hierarchy and a super lattice potential KdV equation

Physics Letters, Section A: General, Atomic and Solid State Physics, 2014
Ruguang Zhou
exaly  

Distinct variants of the KdV equation with compact and noncompact structures

Applied Mathematics and Computation, 2004
Abdul-Majid Wazwaz
exaly  

Computing exact solutions to a generalized Lax seventh-order forced KdV equation (KdV7)

Applied Mathematics and Computation, 2010
Alvaro Salas
exaly