Add to ORKGA special asymptotic solution of the Painlevé-2 equation with small parameter is stu-died. This solution has a critical point t ∗ corresponding to a bifurcation phenomenon. When t < t ∗ the constructed solution varies slowly and when t> t ∗ the solution oscillates very fast. We investigate the transitional layer in detail and obtain a smooth asymptotic solution, using a sequence of scaling and matching procedures.
Abstract. This paper is a continuation of our analysis, begun in [7], of the rational solutions of t...
The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp totics and Physical Applic...
There are two main approaches to the perturbative study of integrable PDEs: 1) perturbations of line...
The asymptotic solution for the Painleve-2 equation with small parameter is considered. The solution...
Abstract. We study the completeness and connectedness of asymptotic behaviours of solutions of the f...
WOS: 000326777900006The Painleve equations arise as reductions of the soliton equations such as the ...
In the small-dispersion limit, solutions to the Korteweg-de Vries equation develop an interval of fa...
When the independent variable is close to a critical point, it is shown that PVI can be asymptotica...
The six Painleve ́ equations were introduced over a century ago, motivated by rather theoretical con...
When the independent variable is close to a critical point, it is shown that PVI can be asymptotica...
We study the completeness and connectedness of asymptotic behaviours of solutions of the first Painl...
We study the general sixth Painleve ́ equation, develop, and justify the existence of several groups...
We consider the asymptotic behaviour of the second discrete Painlevé equation in the limit as the in...
Dynamical systems modelling physical processes often evolve on several time- scales with different ...
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as ...
Abstract. This paper is a continuation of our analysis, begun in [7], of the rational solutions of t...
The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp totics and Physical Applic...
There are two main approaches to the perturbative study of integrable PDEs: 1) perturbations of line...
The asymptotic solution for the Painleve-2 equation with small parameter is considered. The solution...
Abstract. We study the completeness and connectedness of asymptotic behaviours of solutions of the f...
WOS: 000326777900006The Painleve equations arise as reductions of the soliton equations such as the ...
In the small-dispersion limit, solutions to the Korteweg-de Vries equation develop an interval of fa...
When the independent variable is close to a critical point, it is shown that PVI can be asymptotica...
The six Painleve ́ equations were introduced over a century ago, motivated by rather theoretical con...
When the independent variable is close to a critical point, it is shown that PVI can be asymptotica...
We study the completeness and connectedness of asymptotic behaviours of solutions of the first Painl...
We study the general sixth Painleve ́ equation, develop, and justify the existence of several groups...
We consider the asymptotic behaviour of the second discrete Painlevé equation in the limit as the in...
Dynamical systems modelling physical processes often evolve on several time- scales with different ...
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as ...
Abstract. This paper is a continuation of our analysis, begun in [7], of the rational solutions of t...
The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp totics and Physical Applic...
There are two main approaches to the perturbative study of integrable PDEs: 1) perturbations of line...