How do I manually send a password reset request in Laravel 5.2?

Thanks to Mariusz Kurman, I only added token to his answer. this works just fine:

$user = User::where('email', request()->input('email'))->first();
$token = Password::getRepository()->create($user);
$user->sendPasswordResetNotification($token);

Why not just something like this for your controller:

<?php

namespace Illuminate\Foundation\Auth;

use Illuminate\Http\Request;
use Illuminate\Mail\Message;
use Illuminate\Support\Facades\Password;

class YourController extends Controller
{
    public function sendEmail()
    {
        $credentials = ['email' => $email_address];
        $response = Password::sendResetLink($credentials, function (Message $message) {
            $message->subject($this->getEmailSubject());
        });

        switch ($response) {
            case Password::RESET_LINK_SENT:
                return redirect()->back()->with('status', trans($response));
            case Password::INVALID_USER:
                return redirect()->back()->withErrors(['email' => trans($response)]);
        }
    }
}

You don't really explain the context of how you want to send this, so adjust accordingly.