Add to ORKGWe study traveling wave solutions of the nonlinear variational wave equation. In particular, we show how to obtain global, bounded, weak traveling wave solutions from local, classical ones. The resulting waves consist of monotone and constant segments, glued together at points where at least one one-sided derivative is unbounded. Applying the method of proof to the Camassa–Holm equation, we recover some well-known results on its traveling wave solutions
In this paper we employ two recent analytical approaches to investigate the possible classes of trav...
Reaction-diffusion systems arise in many different areas of the physical and biological sciences, an...
WOS: 000405975100049In this study, exact solutions of the nonlinear partial differential equations h...
AbstractAll weak traveling wave solutions of the Camassa–Holm equation are classified. We show that,...
summary:In this paper we present some results on the global existence of weak solutions to a nonline...
We present a method for the classification of all weak travelling-wave solutions for some dispersive...
This work considers a two-parameter family of Camassa–Holm type equations and demonstrates that they...
Motivated by the question whether higher-order nonlinear model equations, which go beyond the Camass...
In Zhang et al. (2007) and Zhang (2021) we constructed all single-peak traveling wave solutions of t...
Reaction-diffusion systems arise in many different areas of the physical and biological sciences, an...
We show that the smooth traveling waves of the Camassa-Holm equation naturally correspond to traveli...
Weak solutions to a nonlinear variational wave equation and some related problem
This thesis is concerned with the orbital instability for a specific class of periodic traveling wav...
In this paper we employ two recent analytical approaches to investigate the possible classes of trav...
We give an exhaustive characterization of singular weak solutions for some singular ordinary differe...
In this paper we employ two recent analytical approaches to investigate the possible classes of trav...
Reaction-diffusion systems arise in many different areas of the physical and biological sciences, an...
WOS: 000405975100049In this study, exact solutions of the nonlinear partial differential equations h...
AbstractAll weak traveling wave solutions of the Camassa–Holm equation are classified. We show that,...
summary:In this paper we present some results on the global existence of weak solutions to a nonline...
We present a method for the classification of all weak travelling-wave solutions for some dispersive...
This work considers a two-parameter family of Camassa–Holm type equations and demonstrates that they...
Motivated by the question whether higher-order nonlinear model equations, which go beyond the Camass...
In Zhang et al. (2007) and Zhang (2021) we constructed all single-peak traveling wave solutions of t...
Reaction-diffusion systems arise in many different areas of the physical and biological sciences, an...
We show that the smooth traveling waves of the Camassa-Holm equation naturally correspond to traveli...
Weak solutions to a nonlinear variational wave equation and some related problem
This thesis is concerned with the orbital instability for a specific class of periodic traveling wav...
In this paper we employ two recent analytical approaches to investigate the possible classes of trav...
We give an exhaustive characterization of singular weak solutions for some singular ordinary differe...
In this paper we employ two recent analytical approaches to investigate the possible classes of trav...
Reaction-diffusion systems arise in many different areas of the physical and biological sciences, an...
WOS: 000405975100049In this study, exact solutions of the nonlinear partial differential equations h...